
Time bar (total: 11.4s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 185.0ms (34.7% of total)ival-sin: 168.0ms (31.5% of total)ival-mult: 131.0ms (24.6% of total)ival-add: 39.0ms (7.3% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 168× | associate-*r* |
| 164× | unsub-neg |
| 142× | associate-*l* |
| 132× | distribute-lft-neg-in |
| 116× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 96 |
| 1 | 81 | 90 |
| 2 | 141 | 90 |
| 3 | 323 | 90 |
| 4 | 491 | 90 |
| 5 | 733 | 90 |
| 6 | 904 | 90 |
| 7 | 987 | 90 |
| 8 | 1066 | 90 |
| 9 | 1132 | 90 |
| 10 | 1146 | 90 |
| 11 | 1151 | 90 |
| 12 | 1153 | 90 |
| 0 | 8 | 9 |
| 1 | 11 | 9 |
| 0 | 11 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
| Outputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
| Inputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
(+ (* (neg x) (cos y)) (* z (sin y))) |
(+ (* x (cos (neg y))) (* z (sin (neg y)))) |
(+ (* x (cos y)) (* (neg z) (sin y))) |
(neg (+ (* (neg x) (cos y)) (* z (sin y)))) |
(neg (+ (* x (cos (neg y))) (* z (sin (neg y))))) |
(neg (+ (* x (cos y)) (* (neg z) (sin y)))) |
(+ (* y (cos x)) (* z (sin x))) |
(+ (* z (cos y)) (* x (sin y))) |
(+ (* x (cos z)) (* y (sin z))) |
| Outputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
(+ (* (neg x) (cos y)) (* z (sin y))) |
(- (* z (sin y)) (* x (cos y))) |
(+ (* x (cos (neg y))) (* z (sin (neg y)))) |
(- (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* (neg z) (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(neg (+ (* (neg x) (cos y)) (* z (sin y)))) |
(- (* x (cos y)) (* z (sin y))) |
(neg (+ (* x (cos (neg y))) (* z (sin (neg y))))) |
(- (* z (sin y)) (* x (cos y))) |
(neg (+ (* x (cos y)) (* (neg z) (sin y)))) |
(- (* z (sin y)) (* x (cos y))) |
(+ (* y (cos x)) (* z (sin x))) |
(+ (* z (cos y)) (* x (sin y))) |
(+ (* (cos y) z) (* x (sin y))) |
(+ (* x (cos z)) (* y (sin z))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 50.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 11.0ms (34.7% of total)ival-sin: 11.0ms (34.7% of total)ival-mult: 7.0ms (22.1% of total)ival-add: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8× | *-lowering-*.f32 |
| 8× | *-lowering-*.f64 |
| 8× | accelerator-lowering-fma.f32 |
| 8× | accelerator-lowering-fma.f64 |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 11 | 24 |
| 0 | 11 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
x |
(cos y) |
y |
(* z (sin y)) |
z |
(sin y) |
| Outputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
x |
(cos y) |
(cos.f64 y) |
y |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
z |
(sin y) |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (39.2% of total)ival-sin: 5.0ms (32.7% of total)ival-mult: 3.0ms (19.6% of total)ival-add: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
| Outputs |
|---|
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (cos y))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt x> |
#<alt (+ x (* -1/2 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (cos y))> |
#<alt (* x (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 (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | (* x (cos y)) |
| 1.0ms | x | @ | 0 | (+ (* x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | inf | (+ (* x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (+ (* x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | -inf | (+ (* x (cos y)) (* z (sin y))) |
| 1× | batch-egg-rewrite |
| 11 480× | accelerator-lowering-fma.f32 |
| 11 480× | accelerator-lowering-fma.f64 |
| 4 168× | *-lowering-*.f32 |
| 4 168× | *-lowering-*.f64 |
| 4 068× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 24 | 19 |
| 2 | 180 | 19 |
| 3 | 1853 | 19 |
| 0 | 8395 | 18 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(cos y) |
(* z (sin y)) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (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 (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y)) (*.f64 x (cos.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y))))) (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (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 (sin.f64 y)) (*.f64 x (cos.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 (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (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 (cos.f64 y)) (*.f64 z (sin.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (neg.f64 x) (*.f64 z (sin.f64 y)))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64)))))) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (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 (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (cos.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.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 (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x (cos.f64 y)) z)) #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 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #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 (cos.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 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 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(*.f64 (pow.f64 x #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 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(cos.f64 y) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) |
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 z))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 z #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 z #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
| 1× | egg-herbie |
| 14 080× | accelerator-lowering-fma.f32 |
| 14 080× | accelerator-lowering-fma.f64 |
| 3 812× | *-lowering-*.f32 |
| 3 812× | *-lowering-*.f64 |
| 2 968× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 892 | 610 |
| 3 | 2078 | 604 |
| 4 | 3746 | 604 |
| 5 | 6389 | 604 |
| 0 | 8805 | 554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* 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 (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (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 (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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (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 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
Compiled 9 973 to 554 computations (94.4% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 15 | 272 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 15 | 273 |
| Status | Accuracy | Program |
|---|---|---|
| 66.9% | (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| ▶ | 99.7% | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
| 51.1% | (fma.f64 z y x) | |
| ▶ | 49.6% | (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
| 49.8% | (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) | |
| 66.9% | (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| 44.4% | (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) | |
| 44.3% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) | |
| ▶ | 75.0% | (+.f64 x (*.f64 z (sin.f64 y))) |
| ▶ | 44.4% | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| 49.4% | (*.f64 (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 (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) | |
| 39.4% | (*.f64 z (sin.f64 y)) | |
| 62.0% | (*.f64 x (cos.f64 y)) | |
| ▶ | 38.5% | x |
Compiled 740 to 366 computations (50.5% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| ✓ | cost-diff | 6720 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (sin.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 z y) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
| 16 798× | accelerator-lowering-fma.f32 |
| 16 798× | accelerator-lowering-fma.f64 |
| 4 246× | *-lowering-*.f32 |
| 4 246× | *-lowering-*.f64 |
| 1 556× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 240 |
| 1 | 99 | 236 |
| 2 | 255 | 236 |
| 3 | 680 | 236 |
| 4 | 2173 | 232 |
| 5 | 4653 | 230 |
| 0 | 8269 | 215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (sin y) z) (* x (cos y))) |
(sin y) |
y |
z |
(* x (cos y)) |
x |
(cos y) |
x |
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x) |
y |
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z) |
(+ (* x -1/2) (* (* z y) -1/6)) |
x |
-1/2 |
(* (* z y) -1/6) |
(* z y) |
z |
-1/6 |
(+ x (* z (sin y))) |
x |
(* z (sin y)) |
z |
(sin y) |
y |
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* x (cos y)) (* z (sin y))))) |
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
(- 1/2 (* 1/2 (cos (+ y y)))) |
1/2 |
(* 1/2 (cos (+ y y))) |
(cos (+ y y)) |
(+ y y) |
y |
(neg (* z z)) |
(* z z) |
z |
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) |
(* x x) |
x |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
1 |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(cos y) |
(* z (sin y)) |
(sin y) |
| Outputs |
|---|
(+ (* (sin y) z) (* x (cos y))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(sin y) |
(sin.f64 y) |
y |
z |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
x |
(cos y) |
(cos.f64 y) |
x |
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x) |
y |
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) |
(+ (* x -1/2) (* (* z y) -1/6)) |
(fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(* (* z y) -1/6) |
(*.f64 (*.f64 y z) #s(literal -1/6 binary64)) |
(* z y) |
(*.f64 y z) |
z |
-1/6 |
#s(literal -1/6 binary64) |
(+ x (* z (sin y))) |
(fma.f64 (sin.f64 y) z x) |
x |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin y) |
(sin.f64 y) |
y |
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* x (cos y)) (* z (sin y))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 x z)))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) |
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (+.f64 x z) (-.f64 x z)))) |
(- 1/2 (* 1/2 (cos (+ y y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (+ y y))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos (+ y y)) |
(cos.f64 (+.f64 y y)) |
(+ y y) |
(+.f64 y y) |
y |
(neg (* z z)) |
(neg.f64 (*.f64 z z)) |
(* z z) |
(*.f64 z z) |
z |
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) |
1 |
#s(literal 1 binary64) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(sin y) |
(sin.f64 y) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 88.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | accuracy | 76.3% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 52.7% | (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 z (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 z y) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (cos.f64 y)) |
| 50.0ms | 42× | 2 | valid |
| 50.0ms | 134× | 0 | valid |
| 44.0ms | 75× | 1 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 233 to 38 computations (83.7% saved)
ival-mult: 50.0ms (41.7% of total)ival-cos: 25.0ms (20.8% of total)ival-add: 13.0ms (10.8% of total)ival-sin: 12.0ms (10% of total)adjust: 7.0ms (5.8% of total)ival-sub: 4.0ms (3.3% of total)const: 4.0ms (3.3% of total)ival-div: 3.0ms (2.5% of total)ival-neg: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (sin y) z) (* x (cos y)))> |
#<alt (sin y)> |
#<alt (* x (cos y))> |
#<alt (cos y)> |
#<alt (+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x)> |
#<alt (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)> |
#<alt (+ (* x -1/2) (* (* z y) -1/6))> |
#<alt (* (* z y) -1/6)> |
#<alt (+ x (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))> |
#<alt (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* x (cos y)) (* z (sin y)))))> |
#<alt (- 1/2 (* 1/2 (cos (+ y y))))> |
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* -1/2 (* x y)))))> |
#<alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (+ (sin y) (/ (* x (cos y)) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))> |
#<alt (* z (sin y))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (+ (* x (cos y)) (* z (sin y)))> |
#<alt (* x (cos y))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
#<alt (* x (+ (cos y) (/ (* z (sin y)) x)))> |
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#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))> |
#<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 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)))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x) |
| 3.0ms | y | @ | 0 | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
| 3.0ms | y | @ | inf | (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* x (cos y)) (* z (sin y))))) |
| 2.0ms | x | @ | 0 | (+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x) |
| 1.0ms | x | @ | -inf | (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* x (cos y)) (* z (sin y))))) |
| 1× | batch-egg-rewrite |
| 6 464× | accelerator-lowering-fma.f32 |
| 6 464× | accelerator-lowering-fma.f64 |
| 4 700× | *-lowering-*.f32 |
| 4 700× | *-lowering-*.f64 |
| 3 990× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 122 |
| 1 | 219 | 101 |
| 2 | 1928 | 101 |
| 0 | 8286 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (sin y) z) (* x (cos y))) |
(sin y) |
(* x (cos y)) |
(cos y) |
(+ (* y (+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z)) x) |
(+ (* y (+ (* x -1/2) (* (* z y) -1/6))) z) |
(+ (* x -1/2) (* (* z y) -1/6)) |
(* (* z y) -1/6) |
(+ x (* z (sin y))) |
(* z (sin y)) |
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* x (cos y)) (* z (sin y))))) |
(- 1/2 (* 1/2 (cos (+ y y)))) |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) (/.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) z) (*.f64 x (cos.f64 y))))) |
(-.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 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (/.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.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 x (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
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(*.f64 (sin.f64 y) (sin.f64 y)) |
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(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (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)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.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)))) |
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(*.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 #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))) |
| 1× | egg-herbie |
| 8 414× | accelerator-lowering-fma.f32 |
| 8 414× | accelerator-lowering-fma.f64 |
| 6 452× | *-lowering-*.f32 |
| 6 452× | *-lowering-*.f64 |
| 2 876× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 5536 |
| 1 | 1922 | 5342 |
| 2 | 7022 | 5326 |
| 0 | 8219 | 4886 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin 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 (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (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) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
z |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1/2 (* x y)) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1/2 x) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* -1/6 (* y z)) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1/6 (* y z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(* -1/2 x) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(* -1/6 (* y z)) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1/6 (* y z)) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* z (sin y)) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
x |
(* x (+ 1 (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (* z (sin y)) x))) |
(* x (+ 1 (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (sin y)) x)) 1))) |
x |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ x z))) |
(* z (+ (sin y) (/ x z))) |
(* z (+ (sin y) (/ x z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ x z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* z (sin y))) |
(+ x (* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(pow x 2) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2)) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (* -1 (* (pow z 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 (* 2 y))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 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 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (* -1/2 x))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (* -1/2 x))) (* -1 z)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) |
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))) |
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 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))))) |
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))))) |
| Outputs |
|---|
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (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) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/24 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) (*.f64 x #s(literal -1/2 binary64))) x) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
(* x (cos y)) |
(*.f64 x (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 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) |
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal -1/6 binary64)))) z) x) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (*.f64 y y))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y))))) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/6 binary64))) (*.f64 (*.f64 y (neg.f64 y)) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(*.f64 (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y)) y)) (*.f64 (*.f64 y (neg.f64 y)) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (-.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 x y)) y)) y)) (*.f64 (*.f64 y (neg.f64 y)) y)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x)) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) (/.f64 y x) #s(literal 1 binary64)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) (/.f64 y x) #s(literal 1 binary64)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (fma.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) (/.f64 y x) #s(literal 1 binary64)))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z) x) (*.f64 y (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
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(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
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(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))))) |
(*.f64 x (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.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 (cos.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 (sin.f64 y) (*.f64 x (pow.f64 (cos.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 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))))) |
(*.f64 x (+.f64 (fma.f64 z (/.f64 (*.f64 (sin.f64 y) (neg.f64 (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.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)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (cos.f64 y))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) (fma.f64 (*.f64 z z) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (cos.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 (sin.f64 y) (*.f64 x (pow.f64 (cos.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 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 x (*.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))))) |
(/ (* x (+ 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 x (cos.f64 y))) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))))) |
(*.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 (sin.f64 y) (*.f64 x (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)) (cos.f64 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.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)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)) x))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))))) |
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 z (*.f64 (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.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)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 (sin.f64 y) (*.f64 x (cos.f64 y)))) (*.f64 (*.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (*.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)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)) x))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
Compiled 43 872 to 2 179 computations (95% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 036 | 22 | 1 058 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 043 | 30 | 1 073 |
| Status | Accuracy | Program |
|---|---|---|
| 66.9% | (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) | |
| ✓ | 99.7% | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
| 75.0% | (fma.f64 (sin.f64 y) z x) | |
| 71.5% | (fma.f64 z (fma.f64 z (-.f64 (*.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 x (pow.f64 (cos.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 x (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 x (cos.f64 y)))) | |
| ▶ | 51.1% | (fma.f64 z y x) |
| ▶ | 49.9% | (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
| ✓ | 49.6% | (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
| 36.3% | (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) | |
| ▶ | 99.0% | (fma.f64 x (/.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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
| 52.0% | (fma.f64 x (*.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)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))) | |
| 36.2% | (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) | |
| ▶ | 44.3% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
| 44.4% | (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x)) | |
| 49.7% | (+.f64 x (*.f64 z (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))) | |
| 49.8% | (+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) | |
| 52.2% | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 61.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) | |
| 26.0% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) | |
| 16.0% | (*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) | |
| 88.2% | (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) | |
| 45.7% | (*.f64 z (fma.f64 x (*.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 z (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)))) | |
| 2.9% | (*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| 39.4% | (*.f64 z (sin.f64 y)) | |
| 16.0% | (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) | |
| ▶ | 92.7% | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
| 91.9% | (*.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 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) | |
| 92.1% | (*.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 (sin.f64 y) (*.f64 x (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)) (cos.f64 y)))) | |
| 62.0% | (*.f64 x (cos.f64 y)) | |
| ✓ | 38.5% | x |
Compiled 1 310 to 736 computations (43.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
| ✓ | cost-diff | 6272 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
| ✓ | cost-diff | 704 | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
| ✓ | cost-diff | 0 | (fma.f64 z y x) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
| ✓ | cost-diff | 13888 | (fma.f64 x (/.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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
| 12 748× | accelerator-lowering-fma.f32 |
| 12 748× | accelerator-lowering-fma.f64 |
| 4 170× | *-lowering-*.f32 |
| 4 170× | *-lowering-*.f64 |
| 2 542× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 386 |
| 1 | 148 | 381 |
| 2 | 407 | 379 |
| 3 | 1213 | 366 |
| 4 | 3722 | 358 |
| 5 | 6883 | 358 |
| 0 | 8245 | 333 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))) |
x |
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y)) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
1/2 |
(cos (* y -2)) |
(* y -2) |
y |
-2 |
(cos y) |
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))) |
(* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) |
(sin y) |
(/ z (pow (cos y) 2)) |
z |
(pow (cos y) 2) |
2 |
(+ (* z y) x) |
z |
y |
x |
(+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x) |
y |
(+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z) |
(* y y) |
(* z (+ (* (* y y) 1/120) -1/6)) |
z |
(+ (* (* y y) 1/120) -1/6) |
1/120 |
-1/6 |
x |
(* x (+ (* z (/ (sin y) x)) (cos y))) |
x |
(+ (* z (/ (sin y) x)) (cos y)) |
z |
(/ (sin y) x) |
(sin y) |
y |
(cos y) |
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
1 |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
x |
(cos y) |
y |
(* z (sin y)) |
z |
(sin y) |
(/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))) |
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
(- 1/2 (* 1/2 (cos (+ y y)))) |
1/2 |
(* 1/2 (cos (+ y y))) |
(cos (+ y y)) |
(+ y y) |
(neg (* z z)) |
(* z z) |
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) |
(* x x) |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
| Outputs |
|---|
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 z (cos.f64 y)) x)) (cos.f64 y)) |
x |
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(cos (* y -2)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(* y -2) |
(*.f64 y #s(literal -2 binary64)) |
y |
-2 |
#s(literal -2 binary64) |
(cos y) |
(cos.f64 y) |
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(/ z (pow (cos y) 2)) |
(/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
z |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* z y) x) |
(fma.f64 y z x) |
z |
y |
x |
(+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x) |
(fma.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z) x) |
y |
(+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z) |
(* y y) |
(*.f64 y y) |
(* z (+ (* (* y y) 1/120) -1/6)) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
z |
(+ (* (* y y) 1/120) -1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
x |
(* x (+ (* z (/ (sin y) x)) (cos y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
x |
(+ (* z (/ (sin y) x)) (cos y)) |
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) |
z |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
y |
(cos y) |
(cos.f64 y) |
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) |
(/ 1 (- (* x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))) |
1 |
#s(literal 1 binary64) |
(- (* x (cos y)) (* z (sin y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 x (cos.f64 y)) |
x |
(cos y) |
(cos.f64 y) |
y |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin y) |
(sin.f64 y) |
(/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x))))) |
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 z z (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 z (neg.f64 z) (*.f64 x x)))) |
(- 1/2 (* 1/2 (cos (+ y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (+ y y))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos (+ y y)) |
(cos.f64 (+.f64 y y)) |
(+ y y) |
(+.f64 y y) |
(neg (* z z)) |
(*.f64 z (neg.f64 z)) |
(* z z) |
(*.f64 z z) |
(* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(* x x) |
(*.f64 x x) |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 88.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
| ✓ | accuracy | 76.3% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 53.3% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) x) |
| ✓ | accuracy | 92.8% | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) |
| ✓ | accuracy | 99.3% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 92.0% | (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 z y x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) |
| ✓ | accuracy | 99.1% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 221.0ms | 134× | 0 | valid |
| 88.0ms | 42× | 2 | valid |
| 68.0ms | 75× | 1 | valid |
| 6.0ms | 5× | 3 | valid |
Compiled 368 to 55 computations (85.1% saved)
ival-mult: 183.0ms (53.1% of total)adjust: 55.0ms (15.9% of total)ival-cos: 53.0ms (15.4% of total)ival-add: 16.0ms (4.6% of total)ival-div: 14.0ms (4.1% of total)const: 8.0ms (2.3% of total)ival-sin: 7.0ms (2% of total)ival-sub: 4.0ms (1.2% of total)ival-pow2: 3.0ms (0.9% of total)ival-neg: 1.0ms (0.3% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))))> |
#<alt (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))> |
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)> |
#<alt (cos (* y -2))> |
#<alt (+ (* z y) x)> |
#<alt (+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x)> |
#<alt (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)> |
#<alt (* y y)> |
#<alt (* z (+ (* (* y y) 1/120) -1/6))> |
#<alt (* x (+ (* z (/ (sin y) x)) (cos y)))> |
#<alt (+ (* z (/ (sin y) x)) (cos y))> |
#<alt (/ (sin y) x)> |
#<alt (sin y)> |
#<alt (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))> |
#<alt (/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))> |
#<alt (- 1/2 (* 1/2 (cos (+ y y))))> |
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))> |
#<alt (pow (cos y) 2)> |
#<alt (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))> |
#<alt (+ (* (* y y) 1/120) -1/6)> |
#<alt (cos y)> |
| Outputs |
|---|
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))> |
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<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 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
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#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))> |
#<alt 1> |
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#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
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#<alt x> |
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#<alt (+ x (* y z))> |
#<alt (* y z)> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* y z)> |
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#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt x> |
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#<alt (+ x (* y z))> |
#<alt (* y z)> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y (+ z (/ x y)))> |
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#<alt (* y z)> |
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#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* y z)> |
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#<alt (+ x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt x> |
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#<alt x> |
#<alt (+ x (* y z))> |
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#<alt (+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))> |
#<alt (* 1/120 (* (pow y 5) z))> |
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#<alt x> |
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#<alt x> |
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#<alt z> |
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#<alt (* -1/6 z)> |
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#<alt x> |
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#<alt 1> |
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#<alt (/ y x)> |
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#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
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#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
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#<alt y> |
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#<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 (pow x 2)> |
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#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) (* -1 z))))> |
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (* -1/2 x))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (* -1/2 x))) (* -1 z))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))> |
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)))))> |
#<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 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 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (* y z)> |
#<alt (* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))> |
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))> |
#<alt (* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<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)> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | inf | (* y y) |
| 7.0ms | y | @ | -inf | (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))) |
| 2.0ms | y | @ | inf | (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))) |
| 2.0ms | x | @ | 0 | (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))) |
| 1.0ms | z | @ | 0 | (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))) |
| 1× | batch-egg-rewrite |
| 5 014× | *-lowering-*.f32 |
| 5 014× | *-lowering-*.f64 |
| 3 904× | accelerator-lowering-fma.f32 |
| 3 904× | accelerator-lowering-fma.f64 |
| 3 850× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 249 |
| 1 | 329 | 193 |
| 2 | 2806 | 193 |
| 0 | 8944 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2)))) |
(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y)) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
(cos (* y -2)) |
(+ (* z y) x) |
(+ (* y (+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z)) x) |
(+ (* (* y y) (* z (+ (* (* y y) 1/120) -1/6))) z) |
(* y y) |
(* z (+ (* (* y y) 1/120) -1/6)) |
(* x (+ (* z (/ (sin y) x)) (cos y))) |
(+ (* z (/ (sin y) x)) (cos y)) |
(/ (sin y) x) |
(sin y) |
(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) |
(/ (/ 1 (- (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))) |
(- 1/2 (* 1/2 (cos (+ y y)))) |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
(pow (cos y) 2) |
(* (* (sin y) (+ (* 1/2 (cos (* y -2))) 1/2)) (/ z (pow (cos y) 2))) |
(+ (* (* y y) 1/120) -1/6) |
(cos y) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (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 (pow.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (cos.f64 y))) (cos.f64 y))) (/.f64 (pow.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (cos.f64 y))) (cos.f64 y)))) |
(fma.f64 x (/.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
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(fma.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) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 7 890× | accelerator-lowering-fma.f32 |
| 7 890× | accelerator-lowering-fma.f64 |
| 6 440× | *-lowering-*.f32 |
| 6 440× | *-lowering-*.f64 |
| 3 020× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 7392 |
| 1 | 2150 | 7193 |
| 2 | 7224 | 7122 |
| 0 | 8144 | 6539 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x)))))) |
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
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))) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
1 |
(+ 1 (* -2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* z (+ y (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
x |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y (+ z (/ x y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ (* y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ x (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))) |
(* 1/120 (* (pow y 5) z)) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (+ (/ x (pow y 5)) (/ z (pow y 4)))))) |
(* 1/120 (* (pow y 5) z)) |
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 5))) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))) |
x |
(+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
(+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
(+ x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
(* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z))) |
(* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z))) |
(* z (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ x z))) |
(* -1 (* y (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))) |
(* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))))) |
(+ x (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))))) |
(+ x (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6)))))) |
x |
(* x (+ 1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x))) |
(* x (+ 1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x))) |
(* x (+ 1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ z (* (pow y 2) (* z (- (* 1/120 (pow y 2)) 1/6))))) x)) 1))) |
z |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
(* 1/120 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* 1/120 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* x (cos y)) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(+ (* x (cos y)) (* z (sin y))) |
(* z (sin y)) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (* z (sin y)) x) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (/ (cos y) z) (/ (sin y) x))) |
(/ (* z (sin y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
1 |
(+ 1 (/ (* y z) x)) |
(+ 1 (* y (+ (* -1/2 y) (/ z x)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ (* z (sin y)) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(/ (+ (* x (cos y)) (* z (sin y))) x) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(cos y) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(+ (cos y) (/ (* z (sin y)) x)) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ (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) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(pow x 2) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2)) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (* -1 (* (pow z 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 (* 2 y))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)))) |
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* -1 (* (pow z 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 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y)))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))))) (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3))))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (* -1/2 x))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (* -1/2 x))) (* -1 z)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) |
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(+ (* z (- (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow z 3) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))) |
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(* -1 (* z (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y)))))) |
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z))))) |
(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))))) |
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))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(* y z) |
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z))))) |
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z))))) |
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
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 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(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 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
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x |
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z))))) |
(*.f64 y (fma.f64 z (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) |
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal 1/6 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -547/5040 binary64)) (-.f64 (fma.f64 z #s(literal -2/45 binary64) (*.f64 z #s(literal -1/18 binary64))) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal 1/6 binary64)))))) (-.f64 (*.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal 1/6 binary64))))) (*.f64 z #s(literal -1/6 binary64))) z)) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(*.f64 z (*.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))))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y 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 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) |
Compiled 55 326 to 3 700 computations (93.3% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 420 | 23 | 1 443 |
| Fresh | 9 | 13 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 433 | 40 | 1 473 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (fma.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) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 99.3% | (fma.f64 (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 49.8% | (fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) | |
| ✓ | 99.7% | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
| 75.0% | (fma.f64 (sin.f64 y) z x) | |
| 52.0% | (fma.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) | |
| 99.0% | (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 (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 x (cos.f64 y)))) | |
| ✓ | 51.1% | (fma.f64 z y x) |
| ✓ | 49.6% | (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
| 36.3% | (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) | |
| 79.1% | (fma.f64 x (/.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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z #s(literal 1 binary64)))) | |
| 36.2% | (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) | |
| 74.5% | (fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) | |
| 15.4% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))) | |
| 33.8% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x)) | |
| 26.8% | (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) | |
| 51.0% | (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)))) | |
| ▶ | 15.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
| 49.7% | (+.f64 x (*.f64 z (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))) | |
| 49.8% | (+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) | |
| 52.2% | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 90.1% | (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) | |
| ▶ | 26.0% | (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) |
| 61.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) | |
| 26.7% | (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) | |
| ▶ | 16.0% | (*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| 62.0% | (*.f64 (cos.f64 y) x) | |
| 16.1% | (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| 88.2% | (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) | |
| 45.5% | (*.f64 z (+.f64 y (/.f64 x z))) | |
| 2.9% | (*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| 39.4% | (*.f64 z (sin.f64 y)) | |
| ▶ | 16.5% | (*.f64 z y) |
| 16.0% | (*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) | |
| 38.6% | (*.f64 y (+.f64 z (/.f64 x y))) | |
| 67.9% | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) | |
| 49.5% | (*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) | |
| 61.6% | (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) | |
| ✓ | 38.5% | x |
Compiled 1 491 to 854 computations (42.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) |
| ✓ | cost-diff | 128 | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))) |
| ✓ | cost-diff | 320 | (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 y) z) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z y) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 128 | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 7360 | (fma.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) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 6 360× | accelerator-lowering-fma.f32 |
| 6 360× | accelerator-lowering-fma.f64 |
| 4 764× | *-lowering-*.f32 |
| 4 764× | *-lowering-*.f64 |
| 1 914× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 329 |
| 1 | 114 | 305 |
| 2 | 276 | 294 |
| 3 | 892 | 292 |
| 4 | 1857 | 284 |
| 5 | 4298 | 283 |
| 0 | 8291 | 269 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
1/2 |
(cos (* y -2)) |
(* y -2) |
y |
-2 |
(* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2))) |
(sin y) |
(/ z (+ (* 1/2 (cos (+ y y))) 1/2)) |
z |
(+ (* 1/2 (cos (+ y y))) 1/2) |
(cos (+ y y)) |
(+ y y) |
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
(* x (+ (* 1/2 (cos (* y -2))) 1/2)) |
x |
(cos y) |
(* z y) |
z |
y |
(* (* (neg y) z) (+ (* (* y y) 1/6) -1)) |
(* (neg y) z) |
(neg y) |
y |
z |
(+ (* (* y y) 1/6) -1) |
(* y y) |
1/6 |
-1 |
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))) |
1 |
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))) |
(+ (* x (- x (* y z))) (* y (* z (* y z)))) |
x |
(- x (* y z)) |
(* y z) |
y |
z |
(* y (* z (* y z))) |
(* z (* y z)) |
(+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))) |
(* x x) |
(* (* y z) (* y (* z (* y z)))) |
(* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y))) |
(+ (* (cos (* y -2)) -1/2) 1/2) |
(cos (* y -2)) |
(* y -2) |
y |
-2 |
-1/2 |
1/2 |
(/ z (sin y)) |
z |
(sin y) |
| Outputs |
|---|
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) z) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))))) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(cos (* y -2)) |
(cos.f64 (+.f64 y y)) |
(* y -2) |
(-.f64 (neg.f64 y) y) |
y |
-2 |
#s(literal -2 binary64) |
(* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2))) |
(/.f64 (*.f64 (sin.f64 y) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(sin y) |
(sin.f64 y) |
(/ z (+ (* 1/2 (cos (+ y y))) 1/2)) |
(/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
z |
(+ (* 1/2 (cos (+ y y))) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(cos (+ y y)) |
(cos.f64 (+.f64 y y)) |
(+ y y) |
(+.f64 y y) |
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) |
(* x (+ (* 1/2 (cos (* y -2))) 1/2)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) x x)) |
x |
(cos y) |
(cos.f64 y) |
(* z y) |
(*.f64 y z) |
z |
y |
(* (* (neg y) z) (+ (* (* y y) 1/6) -1)) |
(*.f64 y (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/6 binary64)) z)) |
(* (neg y) z) |
(neg.f64 (*.f64 y z)) |
(neg y) |
(neg.f64 y) |
y |
z |
(+ (* (* y y) 1/6) -1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* y y) |
(*.f64 y y) |
1/6 |
#s(literal 1/6 binary64) |
-1 |
#s(literal -1 binary64) |
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))) |
(/.f64 (fma.f64 z (*.f64 y (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))) |
(/.f64 (fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x)) (fma.f64 z (*.f64 y (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))) |
(+ (* x (- x (* y z))) (* y (* z (* y z)))) |
(fma.f64 y (*.f64 z (-.f64 (*.f64 y z) x)) (*.f64 x x)) |
x |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(* y z) |
(*.f64 y z) |
y |
z |
(* y (* z (* y z))) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* z (* y z)) |
(*.f64 y (*.f64 z z)) |
(+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))) |
(fma.f64 z (*.f64 y (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
(* (* y z) (* y (* z (* y z)))) |
(*.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z))))) |
(* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y))) |
(*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) |
(+ (* (cos (* y -2)) -1/2) 1/2) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos (* y -2)) |
(cos.f64 (+.f64 y y)) |
(* y -2) |
(-.f64 (neg.f64 y) y) |
y |
-2 |
#s(literal -2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
z |
(sin y) |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 z (sin.f64 y)) |
| ✓ | accuracy | 82.7% | (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) |
| ✓ | accuracy | 76.3% | (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 96.3% | (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) |
| ✓ | accuracy | 93.9% | (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) |
| ✓ | accuracy | 93.6% | (*.f64 y (*.f64 z (*.f64 y z))) |
| ✓ | accuracy | 28.6% | (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 98.1% | (*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 y) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ✓ | accuracy | 99.1% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.1% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 87.0ms | 133× | 0 | valid |
| 70.0ms | 73× | 2 | valid |
| 23.0ms | 37× | 1 | valid |
| 15.0ms | 12× | 3 | valid |
| 2.0ms | 1× | 4 | valid |
Compiled 317 to 50 computations (84.2% saved)
ival-mult: 57.0ms (37.6% of total)ival-cos: 33.0ms (21.8% of total)ival-add: 25.0ms (16.5% of total)ival-div: 12.0ms (7.9% of total)adjust: 10.0ms (6.6% of total)ival-sin: 6.0ms (4% of total)const: 4.0ms (2.6% of total)ival-sub: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))> |
#<alt (cos (* y -2))> |
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)> |
#<alt (* y -2)> |
#<alt (* z y)> |
#<alt (* (* (neg y) z) (+ (* (* y y) 1/6) -1))> |
#<alt (* (neg y) z)> |
#<alt (neg y)> |
#<alt (+ (* (* y y) 1/6) -1)> |
#<alt (/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))))> |
#<alt (+ (* x (- x (* y z))) (* y (* z (* y z))))> |
#<alt (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))> |
#<alt (- x (* y z))> |
#<alt (* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y)))> |
#<alt (+ (* (cos (* y -2)) -1/2) 1/2)> |
#<alt (+ (* 1/2 (cos (+ y y))) 1/2)> |
#<alt (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))> |
#<alt (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))> |
#<alt (* y y)> |
#<alt (* y (* z (* y z)))> |
#<alt (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))> |
#<alt (/ z (sin y))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))> |
#<alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt (* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* -2 y)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* -1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))> |
#<alt (* -1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* y z)> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y z) x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x))))> |
#<alt (* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))> |
#<alt (+ x (* y (- (* y (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z))))> |
#<alt (* y z)> |
#<alt (* y (+ z (/ x y)))> |
#<alt (* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y))))> |
#<alt (* y (- (+ z (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z))))))> |
#<alt (* y z)> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z))) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y)))))> |
#<alt x> |
#<alt (+ x (* y z))> |
#<alt (+ x (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))> |
#<alt (+ x (* z (- (* z (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) x)) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y))))> |
#<alt (* y z)> |
#<alt (* z (+ y (/ x z)))> |
#<alt (* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z))))> |
#<alt (* z (- (+ y (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))))))> |
#<alt (* y z)> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z)))))> |
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y z))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z)) (* -1 x)) z)))))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2)))> |
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))> |
#<alt (+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2)))> |
#<alt (pow x 2)> |
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#<alt (pow x 2)> |
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#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x (* y z))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))> |
#<alt (+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2))))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2)))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x (* y z))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2))))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2)))> |
#<alt (/ 1 (* y z))> |
#<alt (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))> |
#<alt (+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (* y z) x))) x)> |
#<alt (/ (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* (pow y 2) (pow z 2)) (pow x 2)))) x)> |
#<alt (/ (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ (* y z) x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* y z)) (/ (* (pow y 2) (pow z 2)) x)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (+ (* -1 (/ z (pow x 2))) (/ (* y (pow z 2)) (pow x 3)))) (/ 1 x))> |
#<alt (+ (* y (+ (* -1 (/ z (pow x 2))) (* y (+ (* -1 (/ (* y (pow z 3)) (pow x 4))) (/ (pow z 2) (pow x 3)))))) (/ 1 x))> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3))))) y)> |
#<alt (/ (+ (* -1 (/ x (* y (pow z 2)))) (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)> |
#<alt (/ 1 (* y z))> |
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#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow z 2))) (/ (pow x 2) (* y (pow z 3)))) y)) (/ 1 z)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 3))) (/ (pow x 3) (* y (pow z 4)))) y))) y)) (/ 1 z)) y))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))> |
#<alt (+ (* z (+ (* -1 (/ y (pow x 2))) (/ (* (pow y 2) z) (pow x 3)))) (/ 1 x))> |
#<alt (+ (* z (+ (* -1 (/ y (pow x 2))) (* z (+ (* -1 (/ (* (pow y 3) z) (pow x 4))) (/ (pow y 2) (pow x 3)))))) (/ 1 x))> |
#<alt (/ 1 (* y z))> |
#<alt (/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)> |
#<alt (/ (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2))))) z)> |
#<alt (/ (+ (* -1 (/ x (* (pow y 2) z))) (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)> |
#<alt (/ 1 (* y z))> |
#<alt (* -1 (/ (- (/ x (* (pow y 2) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ (pow x 2) (* (pow y 3) z))) z)) (/ 1 y)) z))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (* (pow y 4) z))) z))) z)) (/ 1 y)) z))> |
#<alt (* -1 (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt (- x (* y z))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt (* -1 (* x (- (/ (* y z) x) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* y (- (/ x y) z))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (* -1 (* y z))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* z (- (/ x z) y))> |
#<alt (* -1 (* y z))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))> |
#<alt (* y z)> |
#<alt (* y (+ z (* (pow y 2) (- (* -1/3 z) (* -1/6 z)))))> |
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z)))))> |
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (+ (* 2/45 z) (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z)))))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))> |
#<alt (/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin 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 (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 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))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt x> |
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))> |
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))> |
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* (pow y 2) (- (* -1/6 z) (* -1 z)))))> |
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))> |
#<alt (* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (+ (* 1/120 z) (* (pow y 2) (- (* -1/5040 z) (+ (* -1 (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -1/6 z) (* -1 z)))))))) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<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 (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 2) (pow z 2))> |
#<alt (* (pow y 3) (pow z 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (* (pow y 3) (pow z 3))> |
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))> |
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))> |
#<alt (* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3)))> |
#<alt (* (pow y 3) (pow z 3))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3)))))> |
#<alt (pow x 3)> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (+ (* (pow y 3) (pow z 3)) (pow x 3))> |
#<alt (* (pow y 3) (pow z 3))> |
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))> |
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))> |
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3)))> |
#<alt (* (pow y 3) (pow z 3))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3)))))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z y)> |
#<alt (/ (+ z (* 1/6 (* (pow y 2) z))) y)> |
#<alt (/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)> |
#<alt (/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
#<alt (/ z (sin y))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | 0 | (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))) |
| 4.0ms | x | @ | inf | (/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))) |
| 2.0ms | z | @ | inf | (/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))) |
| 1.0ms | x | @ | 0 | (/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))) |
| 1.0ms | z | @ | 0 | (* (* (neg y) z) (+ (* (* y y) 1/6) -1)) |
| 1× | batch-egg-rewrite |
| 5 168× | accelerator-lowering-fma.f32 |
| 5 168× | accelerator-lowering-fma.f64 |
| 4 848× | *-lowering-*.f32 |
| 4 848× | *-lowering-*.f64 |
| 4 322× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 247 |
| 1 | 253 | 207 |
| 2 | 2103 | 207 |
| 0 | 8797 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2)))) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
(cos (* y -2)) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
(* y -2) |
(* z y) |
(* (* (neg y) z) (+ (* (* y y) 1/6) -1)) |
(* (neg y) z) |
(neg y) |
(+ (* (* y y) 1/6) -1) |
(/ 1 (/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))))) |
(+ (* x (- x (* y z))) (* y (* z (* y z)))) |
(/ (+ (* x (- x (* y z))) (* y (* z (* y z)))) (+ (* x (* x x)) (* (* y z) (* y (* z (* y z)))))) |
(- x (* y z)) |
(* (+ (* (cos (* y -2)) -1/2) 1/2) (/ z (sin y))) |
(+ (* (cos (* y -2)) -1/2) 1/2) |
(+ (* 1/2 (cos (+ y y))) 1/2) |
(/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
(* (sin y) (/ z (+ (* 1/2 (cos (+ y y))) 1/2))) |
(* y y) |
(* y (* z (* y z))) |
(+ (* x (* x x)) (* (* y z) (* y (* z (* y z))))) |
(/ z (sin y)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.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 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #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 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 (sin.f64 y) (*.f64 (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
(fma.f64 (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (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 x (cos.f64 y)))) |
(fma.f64 (/.f64 (*.f64 (sin.f64 y) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
(fma.f64 x (/.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (/.f64 (*.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) z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(fma.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 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))) |
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(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) 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 x (cos.f64 y)))) |
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(pow.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 y (*.f64 z z)))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (*.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 y (*.f64 z z))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (-.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))))))) |
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(*.f64 (/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (*.f64 x x)) (-.f64 x (*.f64 y z))) (-.f64 x (*.f64 y z)))) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (/.f64 z (neg.f64 (sin.f64 y)))) |
(neg.f64 (/.f64 z (neg.f64 (sin.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 z (sin.f64 y)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 z) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (sin.f64 y)))) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) |
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(*.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 9 716× | accelerator-lowering-fma.f32 |
| 9 716× | accelerator-lowering-fma.f64 |
| 5 696× | *-lowering-*.f32 |
| 5 696× | *-lowering-*.f64 |
| 2 844× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 707 | 5944 |
| 1 | 2302 | 5085 |
| 0 | 8180 | 4797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y z)) |
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x)))))) |
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
1 |
(+ 1 (* -2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))) |
(* -1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* y z) |
(+ x (* y z)) |
(+ x (* y z)) |
(+ x (* y z)) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))) (pow x 2)))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* (pow y 2) (pow z 2)) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (/ (* (pow y 2) (pow z 2)) x)) (* -1 (* y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (* z (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2))))) x)) (+ (* -1 (* (pow y 2) (pow z 2))) (* (pow y 2) (pow z 2)))) x)) (* -1 (* y z))) x)) 1))) |
x |
(+ x (* y z)) |
(+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z)))) |
(+ x (* y (- (* y (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) x)) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)))) (* -1 z)))) |
(* y z) |
(* y (+ z (/ x y))) |
(* y (- (+ z (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2)))) (* -1 (/ x y)))) |
(* y (- (+ z (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* (pow y 3) z)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) z))) (/ (pow x 2) (* (pow y 2) z)))))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) (* y z))) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))) y)) (* -1 x)) y))))) |
x |
(+ x (* y z)) |
(+ x (* z (- (* -1 (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y)))) |
(+ x (* z (- (* z (- (* -1 (/ (* y (* z (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) x)) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)))) (* -1 y)))) |
(* y z) |
(* z (+ y (/ x z))) |
(* z (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ y (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2))))))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y z))) (/ (pow x 2) (* y z))) (* -1 x)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) (* y z))) (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y))) z)) (* -1 x)) z))))) |
(* (pow y 2) (pow z 2)) |
(+ (* -1 (* x (* y z))) (* (pow y 2) (pow z 2))) |
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2))) |
(+ (* x (+ x (* -1 (* y z)))) (* (pow y 2) (pow z 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x)))) |
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))) |
(* (pow x 2) (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (* y z) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x)))) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2)) |
(+ (* y (+ (* -1 (* x z)) (* y (pow z 2)))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow x 2) (pow y 2)) (pow z 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* x z)) y)) (pow z 2))) |
(pow x 2) |
(+ (* -1 (* x (* y z))) (pow x 2)) |
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2)) |
(+ (* z (+ (* -1 (* x y)) (* (pow y 2) z))) (pow x 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2)))) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (+ (/ (pow x 2) (pow z 2)) (pow y 2)))) |
(* (pow y 2) (pow z 2)) |
(* (pow z 2) (+ (* -1 (/ (* x y) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) z)) (* x y)) z)) (pow y 2))) |
(/ 1 (* y z)) |
(+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) |
(+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) |
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (* y z) x))) x) |
(/ (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* (pow y 2) (pow z 2)) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (/ (* y z) x) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* y z)) (/ (* (pow y 2) (pow z 2)) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* y z)) (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 2))) (/ (* (pow y 3) (pow z 3)) x)) x))) x)) 1) x)) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z (pow x 2))) (/ (* y (pow z 2)) (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* -1 (/ z (pow x 2))) (* y (+ (* -1 (/ (* y (pow z 3)) (pow x 4))) (/ (pow z 2) (pow x 3)))))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3))))) y) |
(/ (+ (* -1 (/ x (* y (pow z 2)))) (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y) |
(/ 1 (* y z)) |
(* -1 (/ (- (/ x (* y (pow z 2))) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow z 2))) (/ (pow x 2) (* y (pow z 3)))) y)) (/ 1 z)) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 3))) (/ (pow x 3) (* y (pow z 4)))) y))) y)) (/ 1 z)) y)) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* z (+ (* -1 (/ y (pow x 2))) (/ (* (pow y 2) z) (pow x 3)))) (/ 1 x)) |
(+ (* z (+ (* -1 (/ y (pow x 2))) (* z (+ (* -1 (/ (* (pow y 3) z) (pow x 4))) (/ (pow y 2) (pow x 3)))))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2))))) z) |
(/ (+ (* -1 (/ x (* (pow y 2) z))) (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z) |
(/ 1 (* y z)) |
(* -1 (/ (- (/ x (* (pow y 2) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ (pow x 2) (* (pow y 3) z))) z)) (/ 1 y)) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow y 2))) (* -1 (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (/ (pow x 3) (* (pow y 4) z))) z))) z)) (/ 1 y)) z)) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* y z) |
(* y (+ z (* (pow y 2) (- (* -1/3 z) (* -1/6 z))))) |
(* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z))))) |
(* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (+ (* 2/45 z) (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z))))) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) |
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin 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 (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
(+ 1/2 (* -1/2 (cos (* -2 y)))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 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))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
x |
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* y z) |
(* y (+ z (* (pow y 2) (- (* -1/6 z) (* -1 z))))) |
(* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z))))) |
(* y (+ z (* (pow y 2) (- (+ (* -1/6 z) (* (pow y 2) (- (+ (* 1/120 z) (* (pow y 2) (- (* -1/5040 z) (+ (* -1 (- (* 1/120 z) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -1/6 z) (* -1 z)))))))) (+ (* -1 (- (* -1/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(/ (* z (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(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) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (pow z 2)) |
(* (pow y 3) (pow z 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1))) |
(pow x 3) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(* (pow y 3) (pow z 3)) |
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3))) |
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3))) |
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3))) |
(* (pow y 3) (pow z 3)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3))))) |
(pow x 3) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(* (pow y 3) (pow z 3)) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3))) |
(* (pow y 3) (pow z 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3))))) |
(/ 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) |
(/ (+ z (* 1/6 (* (pow y 2) z))) y) |
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) 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)) |
| Outputs |
|---|
x |
(+ x (* y z)) |
(fma.f64 y z x) |
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x)))))) |
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x) |
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) z) x) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(/ (* x (+ 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 x (cos.f64 y))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 z (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 x (cos.f64 y)))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 z (sin.f64 y)) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 z (sin.f64 y)) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 z (sin.f64 y)) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y))) |
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (*.f64 z (sin.f64 y))) |
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))))) |
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(/ (* x (+ 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 x (cos.f64 y))) |
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(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 2) (pow z 2)) |
(*.f64 y (*.f64 y (*.f64 z z))) |
(* (pow y 3) (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) 1))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y (neg.f64 y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(* (pow y 3) (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))) |
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3))) |
(*.f64 y (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x (/.f64 x (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))))) |
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3))) |
(*.f64 y (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x (/.f64 x (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))))) |
(* (pow y 3) (+ (/ (pow x 3) (pow y 3)) (pow z 3))) |
(*.f64 y (*.f64 (*.f64 y y) (fma.f64 x (*.f64 x (/.f64 x (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z))))) |
(* (pow y 3) (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3))))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 x (/.f64 x (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3))))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 x (/.f64 x (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* -1 (pow z 3))))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 x (/.f64 x (*.f64 y (*.f64 y y)))) (*.f64 z (*.f64 z z)))))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(+ (* (pow y 3) (pow z 3)) (pow x 3)) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y)))))) |
(* (pow y 3) (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow y 3))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) |
(* (pow y 3) (pow z 3)) |
(*.f64 z (*.f64 z (*.f64 y (*.f64 z (*.f64 y y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3))))) |
(neg.f64 (*.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3))))) |
(neg.f64 (*.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow y 3))))) |
(neg.f64 (*.f64 (*.f64 z (*.f64 (neg.f64 z) z)) (fma.f64 x (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))))) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z y) |
(/.f64 z y) |
(/ (+ z (* 1/6 (* (pow y 2) z))) y) |
(/.f64 (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) y) |
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z #s(literal 7/360 binary64)) (*.f64 z #s(literal 1/6 binary64))) z) y) |
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (neg.f64 (fma.f64 z #s(literal 1/840 binary64) (*.f64 z #s(literal -7/2160 binary64)))) (*.f64 z #s(literal 7/360 binary64))) (*.f64 z #s(literal 1/6 binary64))) z) y) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
(/ z (sin y)) |
(/.f64 z (sin.f64 y)) |
Compiled 59 755 to 3 520 computations (94.1% saved)
52 alts after pruning (45 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 482 | 23 | 1 505 |
| Fresh | 9 | 22 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 493 | 52 | 1 545 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (fma.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) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (cos.f64 y))) | |
| 15.6% | (fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z)))) | |
| 49.8% | (fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) | |
| ✓ | 99.7% | (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
| 75.0% | (fma.f64 (sin.f64 y) z x) | |
| 52.0% | (fma.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) | |
| 88.1% | (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 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 99.5% | (fma.f64 z (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 x (cos.f64 y)))) | |
| ✓ | 51.1% | (fma.f64 z y x) |
| ✓ | 49.6% | (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
| 36.3% | (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) | |
| 36.2% | (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) | |
| 74.5% | (fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) | |
| 14.2% | (/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) | |
| 33.8% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) | |
| 26.8% | (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) | |
| 26.3% | (/.f64 (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 y)) | |
| 33.2% | (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) | |
| 37.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)) | |
| 13.9% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x))))) | |
| 14.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)))) | |
| 15.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) | |
| 16.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) | |
| 4.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) | |
| 26.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| 16.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 14.1% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z)))))) | |
| 14.2% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))))) | |
| 49.7% | (+.f64 x (*.f64 z (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))) | |
| 49.8% | (+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) | |
| 90.1% | (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) | |
| ✓ | 26.0% | (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) |
| 61.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))) | |
| 26.7% | (*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) | |
| ✓ | 16.0% | (*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
| 3.0% | (*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) | |
| 16.0% | (*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y)) | |
| 62.0% | (*.f64 (cos.f64 y) x) | |
| 16.1% | (*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) | |
| 88.2% | (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) | |
| 45.5% | (*.f64 z (+.f64 y (/.f64 x z))) | |
| 26.3% | (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| 39.4% | (*.f64 z (sin.f64 y)) | |
| ✓ | 16.5% | (*.f64 z y) |
| 16.0% | (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) | |
| 38.6% | (*.f64 y (+.f64 z (/.f64 x y))) | |
| 67.9% | (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) | |
| 49.5% | (*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) | |
| 61.6% | (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) | |
| 3.0% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) | |
| ✓ | 38.5% | x |
Compiled 2 614 to 874 computations (66.6% saved)
| Inputs |
|---|
x |
(*.f64 z y) |
(fma.f64 z y x) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(*.f64 y (+.f64 z (/.f64 x y))) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z)))) |
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) |
(+.f64 x (*.f64 z (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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))) |
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z x) |
(+.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) |
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (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 x (cos.f64 y))) |
(*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) |
(/.f64 (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 y)) |
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 z (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x)) |
(fma.f64 z (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 x (cos.f64 y)))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (*.f64 z (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(fma.f64 x (/.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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (*.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) z) (*.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.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 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(fma.f64 (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 x (*.f64 (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)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))) |
(fma.f64 x (/.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 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(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 (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 x (cos.f64 y)))) |
(fma.f64 z (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) (*.f64 x (*.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) |
(*.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 (sin.f64 y) (*.f64 x (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)) (cos.f64 y)))) |
(*.f64 z (fma.f64 x (*.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 z (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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos.f64 y)) (*.f64 z (sin.f64 y)))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) |
(fma.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) (/.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (cos.f64 y))) |
(*.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 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 x x)))) |
(*.f64 (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 (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))) (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))))) |
(fma.f64 z (fma.f64 z (-.f64 (*.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 x (pow.f64 (cos.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 x (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 x (cos.f64 y)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
4 calls:
| 48.0ms | y |
| 45.0ms | z |
| 27.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
(*.f64 z y) |
(fma.f64 z y x) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(*.f64 y (+.f64 z (/.f64 x y))) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z)))) |
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) |
(+.f64 x (*.f64 z (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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))) |
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) z x) |
(+.f64 x (*.f64 z (sin.f64 y))) |
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z x) |
(*.f64 x (cos.f64 y)) |
(fma.f64 (sin.f64 y) z x) |
4 calls:
| 15.0ms | z |
| 14.0ms | x |
| 14.0ms | y |
| 13.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 3 | x |
| 77.8% | 2 | y |
| 86.5% | 3 | z |
| 75.0% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
(*.f64 z y) |
(fma.f64 z y x) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(*.f64 y (+.f64 z (/.f64 x y))) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z)))) |
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) |
(+.f64 x (*.f64 z (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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))) |
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
(*.f64 x (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 x (cos.f64 y)) |
3 calls:
| 14.0ms | z |
| 14.0ms | y |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 4 | y |
| 78.4% | 3 | x |
| 76.7% | 3 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
x |
(*.f64 z y) |
(fma.f64 z y x) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(*.f64 y (+.f64 z (/.f64 x y))) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z)))) |
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) |
(+.f64 x (*.f64 z (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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))) |
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)))) |
(*.f64 x (cos.f64 y)) |
| Outputs |
|---|
(*.f64 x (cos.f64 y)) |
(+.f64 x (*.f64 z (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))) |
(*.f64 x (cos.f64 y)) |
4 calls:
| 16.0ms | z |
| 13.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | y |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 3 | y |
| 69.2% | 3 | z |
| 62.0% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 70.2% | 3 | x |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
(*.f64 z y) |
(fma.f64 z y x) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x) |
(*.f64 y (+.f64 z (/.f64 x y))) |
(*.f64 z (+.f64 y (/.f64 x z))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 z (*.f64 y y)))) |
(*.f64 z (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(literal -1/6 binary64)) z)) |
(*.f64 x (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) z) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) z) x) |
(*.f64 z (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 (*.f64 (neg.f64 (*.f64 y z)) #s(literal 1/6 binary64)) (*.f64 y y) (neg.f64 (neg.f64 (*.f64 y z)))) |
(fma.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) x) |
(fma.f64 (*.f64 z y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (-.f64 (*.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))) |
(+.f64 x (*.f64 z (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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 x (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x (*.f64 y (*.f64 y (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y (*.f64 z z)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))) |
(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z z))) y) z (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))) (fma.f64 y z x)))) |
| Outputs |
|---|
(fma.f64 z y x) |
4 calls:
| 20.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| 11.0ms | z |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 51.1% | 1 | z |
| 51.1% | 1 | x |
| 51.1% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
(*.f64 z y) |
| Outputs |
|---|
(*.f64 z y) |
x |
(*.f64 z y) |
4 calls:
| 24.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 3 | x |
| 42.7% | 3 | z |
| 38.5% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 38.5% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.5% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 38.5% | 1 | x |
| 38.5% | 1 | z |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3244483998258763e-102 | 6.394375758781695e-102 |
| 18.0ms | -2.0029394278892767e-66 | -2.5449389017933187e-73 |
| 23.0ms | 240× | 0 | valid |
Compiled 270 to 194 computations (28.1% saved)
ival-cos: 5.0ms (33.6% of total)ival-sin: 5.0ms (33.6% of total)ival-mult: 3.0ms (20.2% of total)ival-add: 1.0ms (6.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.670075967112853e-171 | 3.2444898633998123e-152 |
| 17.0ms | -1.8393238389854132e-25 | -5.183180975134574e-29 |
| 29.0ms | 288× | 0 | valid |
Compiled 303 to 230 computations (24.1% saved)
ival-cos: 9.0ms (41.8% of total)ival-sin: 8.0ms (37.2% of total)ival-mult: 3.0ms (13.9% of total)ival-add: 1.0ms (4.6% 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 |
|---|---|---|
| 21.0ms | 6.7674022074934685e-15 | 3.629122962428671 |
| 25.0ms | -50578990.9455719 | -727.4140258673003 |
| 35.0ms | 304× | 0 | valid |
Compiled 661 to 413 computations (37.5% saved)
ival-mult: 11.0ms (40.2% of total)ival-cos: 9.0ms (32.9% of total)ival-sin: 6.0ms (22% of total)ival-add: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.3759771885891752e+135 | 3.2168722242950104e+135 |
| 19.0ms | -1.3589850850824674e+188 | -9.661836917541632e+180 |
| 22.0ms | 224× | 0 | valid |
Compiled 183 to 140 computations (23.5% saved)
ival-cos: 5.0ms (33.8% of total)ival-sin: 5.0ms (33.8% of total)ival-mult: 4.0ms (27% of total)ival-add: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 8× | if-if-or-not_binary32 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 96 |
| 1 | 65 | 96 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x))) |
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (+.f64 x (*.f64 z (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))) (*.f64 x (cos.f64 y)))) |
(fma.f64 z y x) |
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 z y) (if (<=.f64 z #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) x (*.f64 z y))) |
x |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(if (<=.f64 z #s(literal -7926089080280975/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (fma.f64 (sin.f64 y) z x) (if (<=.f64 z #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z x))) |
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))) |
(if (<=.f64 x #s(literal -1895563341875103/11150372599265311570767859136324180752990208 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 7547924849643083/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) |
(if (<=.f64 y #s(literal -740 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) (+.f64 x (*.f64 z (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))) (*.f64 x (cos.f64 y)))) |
(fma.f64 z y x) |
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 z y) (if (<=.f64 z #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) x (*.f64 z y))) |
(if (<=.f64 z #s(literal -1499999999999999909042167455985911120795820881987960223430708651773125828159040861124270570891212344239876164244904077514831264145883051995948988091083436466923515259489829140486573522944 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 2399999999999999972947504972528570413676144107139581221711614717022828790500057571139050654816056810626019326996722756516726326639460352 binary64)) x (*.f64 y z))) |
x |
| 14 080× | accelerator-lowering-fma.f32 |
| 14 080× | accelerator-lowering-fma.f64 |
| 11 480× | accelerator-lowering-fma.f32 |
| 11 480× | accelerator-lowering-fma.f64 |
| 8 414× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 24 | 19 |
| 2 | 180 | 19 |
| 3 | 1853 | 19 |
| 0 | 8395 | 18 |
| 0 | 554 | 5536 |
| 1 | 1922 | 5342 |
| 2 | 7022 | 5326 |
| 0 | 8219 | 4886 |
| 0 | 617 | 7392 |
| 1 | 2150 | 7193 |
| 2 | 7224 | 7122 |
| 0 | 8144 | 6539 |
| 0 | 36 | 122 |
| 1 | 219 | 101 |
| 2 | 1928 | 101 |
| 0 | 8286 | 92 |
| 0 | 93 | 620 |
| 1 | 295 | 616 |
| 2 | 892 | 610 |
| 3 | 2078 | 604 |
| 4 | 3746 | 604 |
| 5 | 6389 | 604 |
| 0 | 8805 | 554 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 207 to 111 computations (46.4% saved)
Compiled 246 to 108 computations (56.1% saved)
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