
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 940.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
ival-sin: 270.0ms (38.8% of total)ival-cos: 254.0ms (36.5% of total)ival-add: 104.0ms (15% of total)ival-mult: 57.0ms (8.2% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 334× | sub-neg |
| 294× | cancel-sign-sub-inv |
| 286× | associate-+l- |
| 272× | distribute-rgt-in |
| 236× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 92 | 82 |
| 2 | 234 | 81 |
| 3 | 588 | 81 |
| 4 | 1029 | 81 |
| 5 | 1414 | 81 |
| 6 | 1696 | 81 |
| 7 | 1888 | 81 |
| 8 | 1995 | 81 |
| 9 | 2055 | 81 |
| 10 | 2069 | 81 |
| 0 | 8 | 9 |
| 1 | 13 | 9 |
| 2 | 20 | 9 |
| 3 | 22 | 9 |
| 0 | 22 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (+ x (sin y)) (* z (cos y))) |
| Outputs |
|---|
(+ (+ x (sin y)) (* z (cos y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 54.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 14.0ms (40.4% of total)ival-sin: 12.0ms (34.6% of total)ival-add: 5.0ms (14.4% of total)ival-mult: 3.0ms (8.7% of total)ival-true: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 24× | +-lowering-+.f64 |
| 24× | +-lowering-+.f32 |
| 12× | accelerator-lowering-fma.f32 |
| 12× | accelerator-lowering-fma.f64 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 13 | 24 |
| 2 | 20 | 24 |
| 3 | 22 | 24 |
| 0 | 22 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (+ x (sin y)) (* z (cos y))) |
(+ x (sin y)) |
x |
(sin y) |
y |
(* z (cos y)) |
z |
(cos y) |
| Outputs |
|---|
(+ (+ x (sin y)) (* z (cos y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
x |
(sin y) |
(sin.f64 y) |
y |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(cos y) |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (+.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 8.0ms (45.5% of total)ival-cos: 6.0ms (34.1% of total)ival-add: 2.0ms (11.4% of total)ival-mult: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (+ x (sin y)) (* z (cos y)))> |
#<alt (+ x (sin y))> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (* z (cos y)) |
| 1.0ms | x | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | y | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | z | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | -inf | (+ (+ x (sin y)) (* z (cos y))) |
| 1× | batch-egg-rewrite |
| 4 470× | *-lowering-*.f32 |
| 4 470× | *-lowering-*.f64 |
| 4 404× | accelerator-lowering-fma.f32 |
| 4 404× | accelerator-lowering-fma.f64 |
| 2 454× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 38 | 19 |
| 2 | 357 | 19 |
| 3 | 5535 | 19 |
| 0 | 8305 | 18 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (+ x (sin y)) (* z (cos y))) |
(+ x (sin y)) |
(sin y) |
(* z (cos y)) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) |
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 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)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x)) (*.f64 z (cos.f64 y))) |
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(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(sin.f64 y) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
| 1× | egg-herbie |
| 11 212× | accelerator-lowering-fma.f32 |
| 11 212× | accelerator-lowering-fma.f64 |
| 3 050× | *-lowering-*.f32 |
| 3 050× | *-lowering-*.f64 |
| 2 392× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 591 |
| 1 | 282 | 587 |
| 2 | 797 | 577 |
| 3 | 2037 | 575 |
| 4 | 3964 | 575 |
| 5 | 7253 | 575 |
| 0 | 8423 | 528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y (*.f64 y z)) (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)) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
Compiled 6 499 to 590 computations (90.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 16 | 267 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 252 | 16 | 268 |
| Status | Accuracy | Program |
|---|---|---|
| 65.1% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) | |
| ▶ | 69.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
| 58.3% | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| 40.3% | (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) | |
| 40.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ▶ | 52.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
| 46.4% | (+.f64 (+.f64 x (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (*.f64 z (cos.f64 y))) | |
| 58.8% | (+.f64 (sin.f64 y) x) | |
| 66.2% | (+.f64 z x) | |
| 51.1% | (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) | |
| 57.5% | (+.f64 y (+.f64 z x)) | |
| ▶ | 48.5% | (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
| ▶ | 84.3% | (+.f64 x (*.f64 z (cos.f64 y))) |
| 52.0% | (*.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)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) | |
| 43.4% | (*.f64 z (cos.f64 y)) | |
| ▶ | 43.2% | x |
Compiled 626 to 358 computations (42.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 576 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 0 | (cos.f64 (+.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) |
| ✓ | cost-diff | 320 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 z (cos.f64 y))) |
| 14 308× | accelerator-lowering-fma.f32 |
| 14 308× | accelerator-lowering-fma.f64 |
| 3 284× | +-lowering-+.f64 |
| 3 284× | +-lowering-+.f32 |
| 2 990× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 297 |
| 1 | 105 | 295 |
| 2 | 291 | 293 |
| 3 | 855 | 293 |
| 4 | 2533 | 293 |
| 5 | 6273 | 293 |
| 0 | 8287 | 274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* z (cos y))) |
x |
(* z (cos y)) |
z |
(cos y) |
y |
x |
(+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)) |
x |
(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z) |
y |
(+ (* y (+ (* y -1/6) (* z -1/2))) 1) |
(+ (* y -1/6) (* z -1/2)) |
-1/6 |
(* z -1/2) |
z |
-1/2 |
1 |
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y))) |
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) |
1/2 |
(+ (* 1/2 (cos (+ y y))) (* x x)) |
(cos (+ y y)) |
(+ y y) |
y |
(* x x) |
x |
(/ 1 (- (sin y) x)) |
1 |
(- (sin y) x) |
(sin y) |
(* z (cos y)) |
z |
(cos y) |
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))) |
1 |
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))) |
(- (* z (cos y)) (+ x (sin y))) |
(* z (cos y)) |
z |
(cos y) |
y |
(+ x (sin y)) |
x |
(sin y) |
(+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))) |
(* z z) |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
1/2 |
(* 1/2 (cos (+ y y))) |
(cos (+ y y)) |
(+ y y) |
(neg (pow (+ x (sin y)) 2)) |
(pow (+ x (sin y)) 2) |
2 |
| Outputs |
|---|
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
x |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(cos y) |
(cos.f64 y) |
y |
x |
(+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
x |
(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) |
y |
(+ (* y (+ (* y -1/6) (* z -1/2))) 1) |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ (* y -1/6) (* z -1/2)) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* z -1/2) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y))) |
(-.f64 (*.f64 z (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (fma.f64 x x #s(literal -1/2 binary64))) (-.f64 (sin.f64 y) x))) |
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* 1/2 (cos (+ y y))) (* x x)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)) |
(cos (+ y y)) |
(cos.f64 (+.f64 y y)) |
(+ y y) |
(+.f64 y y) |
y |
(* x x) |
(*.f64 x x) |
x |
(/ 1 (- (sin y) x)) |
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) |
1 |
#s(literal 1 binary64) |
(- (sin y) x) |
(-.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(cos y) |
(cos.f64 y) |
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 z (cos.f64 (+.f64 y y)) z) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) |
1 |
#s(literal 1 binary64) |
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))) |
(/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (fma.f64 z (cos.f64 (+.f64 y y)) z) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* z (cos y)) (+ x (sin y))) |
(-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(cos y) |
(cos.f64 y) |
y |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
x |
(sin y) |
(sin.f64 y) |
(+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))) |
(-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(* z z) |
(*.f64 z 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) |
(neg (pow (+ x (sin y)) 2)) |
(neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow (+ x (sin y)) 2) |
(pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
| ✓ | accuracy | 99.3% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 90.4% | (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 53.2% | (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 85.9% | (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) |
| ✓ | accuracy | 73.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 73.0ms | 207× | 0 | valid |
| 28.0ms | 41× | 1 | valid |
| 6.0ms | 7× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 286 to 42 computations (85.3% saved)
ival-cos: 20.0ms (24.6% of total)ival-mult: 17.0ms (20.9% of total)ival-add: 14.0ms (17.2% of total)ival-div: 6.0ms (7.4% of total)ival-sin: 6.0ms (7.4% of total)adjust: 5.0ms (6.1% of total)ival-sub: 4.0ms (4.9% of total)const: 4.0ms (4.9% of total)ival-pow2: 3.0ms (3.7% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (cos y)> |
#<alt (+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z))> |
#<alt (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)> |
#<alt (+ (* y (+ (* y -1/6) (* z -1/2))) 1)> |
#<alt (+ (* y -1/6) (* z -1/2))> |
#<alt (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y)))> |
#<alt (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x)))> |
#<alt (+ (* 1/2 (cos (+ y y))) (* x x))> |
#<alt (cos (+ y y))> |
#<alt (/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))))> |
#<alt (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))> |
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))> |
#<alt (- (* z (cos y)) (+ x (sin y)))> |
#<alt (/ 1 (- (sin y) x))> |
#<alt (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))> |
| Outputs |
|---|
#<alt (* z (cos y))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (cos y)) x)))> |
#<alt (* x (+ 1 (/ (* z (cos y)) x)))> |
#<alt (* x (+ 1 (/ (* z (cos y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))> |
#<alt x> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ x z)))> |
#<alt (* z (+ (cos y) (/ x z)))> |
#<alt (* z (+ (cos y) (/ x z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))> |
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (+ x (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y)))))> |
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#<alt (- (+ (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 3))) (+ (* 2 (/ (* (sin y) (+ (* -1 (/ (- (* z (cos y)) (sin y)) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (* 2 (/ (* (sin y) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ 1 (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2)))))) (+ (* -1 (/ (- (* z (cos y)) (sin y)) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (* 2 (/ (* (sin y) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))) (+ (* -2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) 2))) (/ 1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (/ (* z (cos y)) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (sin y) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))> |
#<alt (/ 1 x)> |
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#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (sin y) (+ (* -1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))))))) (* -1 (* (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (pow x 3))) (* -1 (/ (- (* z (cos y)) (sin y)) x)))) (+ (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) (pow x 2))) (+ (* 2 (/ (sin y) x)) (* 2 (/ (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))) (pow x 2)))))) x)> |
#<alt (/ 1 x)> |
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#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))> |
#<alt (- (+ (* -2 (* x (sin y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))> |
#<alt (- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))> |
#<alt (- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -2 (/ (sin y) x)) 1))> |
#<alt (* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2))))))> |
#<alt (* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2))))))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -2 (/ (sin y) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y))) |
| 3.0ms | x | @ | 0 | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y))) |
| 2.0ms | y | @ | inf | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y))) |
| 2.0ms | x | @ | 0 | (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))) |
| 1.0ms | y | @ | inf | (/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))) |
| 1× | batch-egg-rewrite |
| 4 688× | *-lowering-*.f32 |
| 4 688× | *-lowering-*.f64 |
| 4 014× | /-lowering-/.f32 |
| 4 014× | /-lowering-/.f64 |
| 3 974× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 203 |
| 1 | 283 | 145 |
| 2 | 2823 | 145 |
| 0 | 8984 | 131 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* z (cos y))) |
(* z (cos y)) |
(cos y) |
(+ x (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z)) |
(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) z) |
(+ (* y (+ (* y -1/6) (* z -1/2))) 1) |
(+ (* y -1/6) (* z -1/2)) |
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) (/ 1 (- (sin y) x))) (* z (cos y))) |
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* x x))) |
(+ (* 1/2 (cos (+ y y))) (* x x)) |
(cos (+ y y)) |
(/ 1 (/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))))) |
(/ (- (* z (cos y)) (+ x (sin y))) (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2)))) |
(+ 1/2 (* 1/2 (cos (+ y y)))) |
(- (* z (cos y)) (+ x (sin y))) |
(/ 1 (- (sin y) x)) |
(+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (neg (pow (+ x (sin y)) 2))) |
| Outputs |
|---|
(+.f64 x (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (*.f64 z (cos.f64 y))))) |
(fma.f64 z (cos.f64 y) x) |
(fma.f64 (cos.f64 y) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x z) (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 x (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 x (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (*.f64 (-.f64 x (*.f64 z (cos.f64 y))) (-.f64 x (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 z (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (fma.f64 z (cos.f64 y) (neg.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 z (cos.f64 y))) (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (cos.f64 y))))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x) |
(+.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x) z) |
(+.f64 (+.f64 x z) (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) (/.f64 (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(fma.f64 (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (*.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y)) (*.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y)))) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 y z))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x))) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x))) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)))))) |
(/.f64 (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (-.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) x)))) |
(/.f64 (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))))) |
(/.f64 (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) (-.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (neg.f64 x)) (sin.f64 y))) |
| 1× | egg-herbie |
| 7 490× | accelerator-lowering-fma.f32 |
| 7 490× | accelerator-lowering-fma.f64 |
| 5 962× | +-lowering-+.f64 |
| 5 962× | +-lowering-+.f32 |
| 5 506× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1067 | 9581 |
| 1 | 3373 | 9405 |
| 0 | 8164 | 8812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(* x (+ 1 (/ (* z (cos y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
x |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (+ (cos y) (/ x z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(+ x z) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(+ x (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ z y)) 1) y)) (* -1/2 z)) y))))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2))) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(- z (* -1 x)) |
(- (+ y z) (* -1 x)) |
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (/ 1 x)) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x)) |
(- (+ z (* y (+ 1 (* y (- (+ (* -1/2 z) (+ (* y (- (+ (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))) (+ 1/6 (* 1/2 (- (* 1/6 (/ 1 (pow x 2))) (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 (pow x 3))) x))))))) (/ 1 x))) (+ (* 1/2 (- (* 2 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 3))))))))) (* -1 x)) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (* z (cos y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (* 1/2 (/ 1 (pow (sin y) 2))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (* 1/2 (/ 1 (pow (sin y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
(- (+ (* 1/2 (/ 1 (sin y))) (+ (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (sin y) 3))) (* x (- (* 1/2 (/ 1 (pow (sin y) 4))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 4))) (/ 1 (pow (sin y) 2)))))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 3))) (/ 1 (sin y)))))) (* 1/2 (/ (cos (* 2 y)) (pow (sin y) 2))))) (* z (cos y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (/ (pow (sin y) 2) (pow x 2))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (/ 1/2 (pow x 2))))) |
(* x (- (+ 1 (+ (* -1/2 (/ (sin y) (pow x 3))) (+ (/ (sin y) x) (+ (/ (* z (cos y)) x) (+ (/ (pow (sin y) 2) (pow x 2)) (/ (pow (sin y) 3) (pow x 3))))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow x 3))) (/ 1/2 (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (* -1 (pow (sin y) 2))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (+ (* -1/2 (sin y)) (pow (sin y) 3)) (* -1/2 (* (cos (* 2 y)) (sin y)))) x)) (* -1 (pow (sin y) 2)))) (* 1/2 (cos (* 2 y)))) x)) (* z (cos y)))) x)) 1))) |
(- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(- (+ (* 1/2 (/ 1 (- (sin y) x))) (* z (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) |
(* z (cos y)) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (- (+ (cos y) (/ 1/2 (* z (- (sin y) x)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (sin y) x)))) (/ (pow x 2) (* z (- (sin y) x)))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) x))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) x))) (/ (pow x 2) (- (sin y) x)))) z))))) |
(* -1 (pow x 2)) |
(- (pow y 2) (pow x 2)) |
(- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)) |
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) (pow x 2)) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- (+ 1/2 (* -1 (pow x 2))) (* 1/2 (cos (* 2 y)))) |
(- (+ 1/2 (* -1 (pow x 2))) (* 1/2 (cos (* 2 y)))) |
(- (+ 1/2 (* -1 (pow x 2))) (* 1/2 (cos (* 2 y)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2)))))) |
(+ 1/2 (pow x 2)) |
(+ 1/2 (+ (* -1 (pow y 2)) (pow x 2))) |
(+ 1/2 (+ (* (pow y 2) (- (* 1/3 (pow y 2)) 1)) (pow x 2))) |
(+ 1/2 (+ (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) (pow x 2))) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(+ (* 1/2 (cos (neg (* -2 y)))) (pow x 2)) |
(* 1/2 (cos (* 2 y))) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(+ (* 1/2 (cos (* 2 y))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 y)) (pow x 2))))) |
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 (neg (* -2 y))) |
(cos (neg (* -2 y))) |
(cos (neg (* -2 y))) |
(cos (neg (* -2 y))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ x (sin y)))) (* -1 (/ (pow (cos y) 2) (+ x (sin y)))))) (* -1 (cos y)))))) |
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ x (sin y))) (* z (pow (cos y) 2)))))) |
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x |
(* x (- (+ 1 (* 2 (/ (sin y) x))) (* -1 (/ (- (* z (cos y)) (sin y)) x)))) |
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(/ 1 (+ x (sin y))) |
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(/ (cos y) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
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(/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))) |
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(/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2))) |
(/ (- (* z (cos y)) (+ x (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2))) |
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(/ 1 x) |
(/ (- (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x))) (* 2 (/ (sin y) x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))))) (pow x 2))) (* -1 (/ (- (* z (cos y)) (sin y)) x)))) (* 2 (/ (sin y) x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (sin y) (+ (* -1 (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))))))) (* -1 (* (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (pow x 3))) (* -1 (/ (- (* z (cos y)) (sin y)) x)))) (+ (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) (pow x 2))) (+ (* 2 (/ (sin y) x)) (* 2 (/ (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y)))) (pow x 2)))))) x) |
(/ 1 x) |
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(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* z (cos y)) (sin y))) (* -1 (/ (- (pow (sin y) 2) (+ (* -2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x))) (* 2 (sin y))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* z (cos y)) (sin y))) (* -1 (/ (- (+ (* -2 (/ (* (sin y) (- (pow (sin y) 2) (+ (* -2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) x)) (+ (* -1 (/ (* (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))) (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) x)) (pow (sin y) 2))) (+ (* -2 (* (sin y) (- (* -1 (- (* z (cos y)) (sin y))) (* 2 (sin y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) x))) (* 2 (sin y))) x)) 1) x)) |
1 |
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(+ 1/2 (* 1/2 (cos (* 2 y)))) |
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(+ 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 (+ x (sin y))) |
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(- (* z (cos y)) (+ x (sin y))) |
(- (* z (cos y)) (+ x (sin y))) |
(* z (cos y)) |
(* z (+ (cos y) (* -1 (/ (+ x (sin y)) z)))) |
(* z (+ (cos y) (* -1 (/ (+ x (sin y)) z)))) |
(* z (+ (cos y) (* -1 (/ (+ x (sin y)) z)))) |
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(- z x) |
(- (+ z (* -1 y)) x) |
(- (+ z (* y (- (* -1/2 (* y z)) 1))) x) |
(- (+ z (* y (- (* y (+ (* -1/2 z) (* 1/6 y))) 1))) x) |
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(- (* z (cos y)) (sin y)) |
(- (+ (* -1 x) (* z (cos y))) (sin y)) |
(- (+ (* -1 x) (* z (cos y))) (sin y)) |
(- (+ (* -1 x) (* z (cos y))) (sin y)) |
(* -1 x) |
(* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x)))) |
(* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x)))) |
(* x (- (/ (* z (cos y)) x) (+ 1 (/ (sin y) x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* z (cos y)) (sin y)) x))))) |
(/ -1 x) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* y (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (- (sin y) x)) |
(/ 1 (sin y)) |
(+ (/ 1 (sin y)) (/ x (pow (sin y) 2))) |
(+ (* x (+ (/ 1 (pow (sin y) 2)) (/ x (pow (sin y) 3)))) (/ 1 (sin y))) |
(+ (* x (+ (* x (+ (/ 1 (pow (sin y) 3)) (/ x (pow (sin y) 4)))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y))) |
(/ -1 x) |
(/ (- (* -1 (/ (sin y) x)) 1) x) |
(/ (- (* -1 (/ (pow (sin y) 2) (pow x 2))) (+ 1 (/ (sin y) x))) x) |
(/ (- (* -1 (/ (pow (sin y) 3) (pow x 3))) (+ 1 (+ (/ (sin y) x) (/ (pow (sin y) 2) (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ (sin y) x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin y) 2) x)) (sin y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 3) x) (* -1 (pow (sin y) 2))) x)) (sin y)) x))) x)) |
(* -1 (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(- (pow z 2) (pow x 2)) |
(- (+ (* -2 (* x y)) (pow z 2)) (pow x 2)) |
(- (+ (* y (- (* y (- (* -1 (pow z 2)) 1)) (* 2 x))) (pow z 2)) (pow x 2)) |
(- (+ (* y (- (* y (- (+ (* -1 (pow z 2)) (* 1/3 (* x y))) 1)) (* 2 x))) (pow z 2)) (pow x 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) |
(- (+ (* -2 (* x (sin y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) |
(- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) |
(- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -2 (/ (sin y) x)) 1)) |
(* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2)))))) |
(* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -2 (/ (sin y) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1)) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
x |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) x) |
(* x (+ 1 (/ (* z (cos y)) x))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 z (cos.f64 y)) x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 z (cos.f64 y)) x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 z (cos.f64 y)) x)) (neg.f64 x) x) |
x |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ x z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z))) |
(* z (+ (cos y) (/ x z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z))) |
(* z (+ (cos y) (/ x z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 x z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 x z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 x z)) (neg.f64 z)) |
(+ x z) |
(+.f64 z x) |
(+ x (+ z (* -1/2 (* (pow y 2) z)))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) (+.f64 z x)) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(+ x (* z (cos y))) |
(fma.f64 z (cos.f64 y) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) (neg.f64 x)) (neg.f64 x) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)))) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z y) #s(literal 1/6 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 z x) (neg.f64 y)) #s(literal -1 binary64)) y)) y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) (/.f64 x z))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) (/.f64 x z))) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) (/.f64 x z))) z) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(neg.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 z)) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
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(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z)) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (pow (+ x (sin y)) 2) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(*.f64 (*.f64 z z) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (*.f64 z z))))) |
(- (pow z 2) (pow x 2)) |
(*.f64 (+.f64 z x) (-.f64 z x)) |
(- (+ (* -2 (* x y)) (pow z 2)) (pow x 2)) |
(fma.f64 #s(literal -2 binary64) (*.f64 y x) (*.f64 (+.f64 z x) (-.f64 z x))) |
(- (+ (* y (- (* y (- (* -1 (pow z 2)) 1)) (* 2 x))) (pow z 2)) (pow x 2)) |
(fma.f64 y (fma.f64 y (fma.f64 z (neg.f64 z) #s(literal -1 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 z x) (-.f64 z x))) |
(- (+ (* y (- (* y (- (+ (* -1 (pow z 2)) (* 1/3 (* x y))) 1)) (* 2 x))) (pow z 2)) (pow x 2)) |
(fma.f64 y (fma.f64 y (fma.f64 z (neg.f64 z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y x) #s(literal -1 binary64))) (*.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 z x) (-.f64 z x))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (pow (+ x (sin y)) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(- (+ (* -2 (* x (sin y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 x (sin.f64 y)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) |
(fma.f64 x (+.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal -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 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(- (+ (* x (- (* -1 x) (* 2 (sin y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) |
(fma.f64 x (+.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal -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 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (* -2 (/ (sin y) x)) 1)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2)))))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))))) |
(* (pow x 2) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)) (+ 1 (+ (* 2 (/ (sin y) x)) (/ (pow (sin y) 2) (pow x 2)))))) |
(*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (* -2 (/ (sin y) x)) 1)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)) x)) (* -2 (sin y))) x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64))) |
Compiled 56 011 to 3 960 computations (92.9% saved)
27 alts after pruning (26 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 342 | 20 | 1 362 |
| Fresh | 5 | 6 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 351 | 27 | 1 378 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z) | |
| 73.5% | (fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) | |
| 48.2% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) | |
| 84.3% | (fma.f64 (cos.f64 y) z x) | |
| 23.6% | (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) | |
| 58.3% | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| 28.1% | (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) | |
| ▶ | 51.2% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
| ▶ | 87.8% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| 49.3% | (pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 24.7% | (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x))) | |
| 36.6% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x))) | |
| 31.1% | (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) | |
| ▶ | 43.2% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ▶ | 31.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
| 43.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 48.5% | (+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) | |
| 46.4% | (+.f64 (+.f64 x (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (*.f64 z (cos.f64 y))) | |
| 58.8% | (+.f64 (sin.f64 y) x) | |
| ▶ | 66.2% | (+.f64 z x) |
| 57.5% | (+.f64 y (+.f64 z x)) | |
| 41.9% | (+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) | |
| 50.9% | (+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) | |
| 47.8% | (+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 43.4% | (*.f64 z (cos.f64 y)) | |
| 2.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) | |
| ✓ | 43.2% | x |
Compiled 792 to 473 computations (40.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 z x) (-.f64 z x)) |
| ✓ | cost-diff | 0 | (-.f64 z x) |
| ✓ | cost-diff | 704 | (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
| ✓ | cost-diff | 0 | (+.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 z y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
| ✓ | cost-diff | 0 | (+.f64 z x) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 1600 | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| 15 238× | accelerator-lowering-fma.f32 |
| 15 238× | accelerator-lowering-fma.f64 |
| 4 804× | *-lowering-*.f32 |
| 4 804× | *-lowering-*.f64 |
| 1 690× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 151 |
| 1 | 83 | 151 |
| 2 | 205 | 145 |
| 3 | 523 | 141 |
| 4 | 1076 | 139 |
| 5 | 6303 | 139 |
| 0 | 8223 | 131 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
x |
(+ (* z (/ (cos y) x)) (/ (sin y) x)) |
z |
(/ (cos y) x) |
(cos y) |
y |
(/ (sin y) x) |
(sin y) |
(+ z x) |
z |
x |
(+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x)) |
y |
(+ (* -1/2 (* z y)) 1) |
-1/2 |
(* z y) |
z |
1 |
(+ z x) |
x |
(/ 1 (/ (- z x) (* (+ z x) (- z x)))) |
1 |
(/ (- z x) (* (+ z x) (- z x))) |
(- z x) |
z |
x |
(* (+ z x) (- z x)) |
(+ z x) |
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
(* z (+ (* 1/2 (cos (* y -2))) 1/2)) |
z |
(+ (* 1/2 (cos (* y -2))) 1/2) |
1/2 |
(cos (* y -2)) |
(* y -2) |
y |
-2 |
(cos y) |
| Outputs |
|---|
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
x |
(+ (* z (/ (cos y) x)) (/ (sin y) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
z |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
y |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(+ z x) |
(+.f64 x z) |
z |
x |
(+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x)) |
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x y)) |
y |
(+ (* -1/2 (* z y)) 1) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* z y) |
(*.f64 z y) |
z |
1 |
#s(literal 1 binary64) |
(+ z x) |
(+.f64 x z) |
x |
(/ 1 (/ (- z x) (* (+ z x) (- z x)))) |
(+.f64 x z) |
1 |
#s(literal 1 binary64) |
(/ (- z x) (* (+ z x) (- z x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(- z x) |
(-.f64 z x) |
z |
x |
(* (+ z x) (- z x)) |
(*.f64 (+.f64 x z) (-.f64 z x)) |
(+ z x) |
(+.f64 x z) |
(/ (* z (+ (* 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)) (/.f64 z (cos.f64 y))) |
(* z (+ (* 1/2 (cos (* y -2))) 1/2)) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
z |
(+ (* 1/2 (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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ✓ | accuracy | 99.3% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 z x) (-.f64 z x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
| ✓ | accuracy | 49.7% | (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 y) x) |
| ✓ | accuracy | 99.8% | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) x) |
| ✓ | accuracy | 87.8% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| 101.0ms | 256× | 0 | valid |
Compiled 154 to 33 computations (78.6% saved)
ival-mult: 36.0ms (46.1% of total)ival-add: 15.0ms (19.2% of total)ival-cos: 12.0ms (15.4% of total)ival-div: 8.0ms (10.2% of total)ival-sin: 6.0ms (7.7% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x)> |
#<alt (+ (* z (/ (cos y) x)) (/ (sin y) x))> |
#<alt (/ (cos y) x)> |
#<alt (cos y)> |
#<alt (+ z x)> |
#<alt (+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x))> |
#<alt (+ (* -1/2 (* z y)) 1)> |
#<alt (* z y)> |
#<alt (/ 1 (/ (- z x) (* (+ z x) (- z x))))> |
#<alt (/ (- z x) (* (+ z x) (- z x)))> |
#<alt (- z x)> |
#<alt (* (+ z x) (- z x))> |
#<alt (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))> |
#<alt (* z (+ (* 1/2 (cos (* y -2))) 1/2))> |
#<alt (+ (* 1/2 (cos (* y -2))) 1/2)> |
#<alt (cos (* y -2))> |
#<alt (/ (sin y) x)> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (/ (sin y) x)> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 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 x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ z (pow x 2))) (/ 1 x))> |
#<alt (+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 z)> |
#<alt (/ (+ 1 (* -1 (/ x z))) z)> |
#<alt (/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z)> |
#<alt (/ 1 z)> |
#<alt (* -1 (/ (- (/ x z) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) z))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ x (pow z 2))) (/ 1 z))> |
#<alt (+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ z x))) x)> |
#<alt (/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ z x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x))> |
#<alt (* -1 x)> |
#<alt (- z x)> |
#<alt (- z x)> |
#<alt (- z x)> |
#<alt z> |
#<alt (* z (+ 1 (* -1 (/ x z))))> |
#<alt (* z (+ 1 (* -1 (/ x z))))> |
#<alt (* z (+ 1 (* -1 (/ x z))))> |
#<alt z> |
#<alt (* -1 (* z (- (/ x z) 1)))> |
#<alt (* -1 (* z (- (/ x z) 1)))> |
#<alt (* -1 (* z (- (/ x z) 1)))> |
#<alt z> |
#<alt (+ z (* -1 x))> |
#<alt (+ z (* -1 x))> |
#<alt (+ z (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ z x) 1))> |
#<alt (* x (- (/ z x) 1))> |
#<alt (* x (- (/ z x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))> |
#<alt (* -1 (pow x 2))> |
#<alt (+ (* -1 (pow x 2)) (* z (+ x (* -1 x))))> |
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))> |
#<alt (+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z))))> |
#<alt (pow z 2)> |
#<alt (+ (* x (+ z (* -1 z))) (pow z 2))> |
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))> |
#<alt (+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt z> |
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))> |
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))> |
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt z> |
#<alt (+ z (* -1 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (/ y x)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | y | @ | inf | (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
| 15.0ms | x | @ | 0 | (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
| 2.0ms | y | @ | 0 | (/ (cos y) x) |
| 2.0ms | z | @ | 0 | (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
| 1.0ms | x | @ | -inf | (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
| 1× | batch-egg-rewrite |
| 5 508× | /-lowering-/.f32 |
| 5 508× | /-lowering-/.f64 |
| 4 948× | *-lowering-*.f32 |
| 4 948× | *-lowering-*.f64 |
| 3 004× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 121 |
| 1 | 192 | 115 |
| 2 | 1731 | 115 |
| 0 | 8803 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
(+ (* z (/ (cos y) x)) (/ (sin y) x)) |
(/ (cos y) x) |
(cos y) |
(+ z x) |
(+ (* y (+ (* -1/2 (* z y)) 1)) (+ z x)) |
(+ (* -1/2 (* z y)) 1) |
(* z y) |
(/ 1 (/ (- z x) (* (+ z x) (- z x)))) |
(/ (- z x) (* (+ z x) (- z x))) |
(- z x) |
(* (+ z x) (- z x)) |
(/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
(* z (+ (* 1/2 (cos (* y -2))) 1/2)) |
(+ (* 1/2 (cos (* y -2))) 1/2) |
(cos (* y -2)) |
(/ (sin y) x) |
| Outputs |
|---|
(+.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(+.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 z (cos.f64 y))) x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) x) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 z (cos.f64 y)) x) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) x)) z (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))) (*.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (*.f64 x x))) (*.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (-.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)))) |
(*.f64 (+.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (/.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (sin.f64 y) x) (/.f64 (*.f64 z (cos.f64 y)) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)) (/.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z (cos.f64 y)) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x) (/.f64 (*.f64 z (cos.f64 y)) x)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 z (cos.f64 y)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (*.f64 z (cos.f64 y)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 y)) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) (*.f64 x x)))) |
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(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 z (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)) z) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 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)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 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))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x)) |
(/.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 11 100× | accelerator-lowering-fma.f32 |
| 11 100× | accelerator-lowering-fma.f64 |
| 5 312× | +-lowering-+.f64 |
| 5 312× | +-lowering-+.f32 |
| 4 792× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 3528 |
| 1 | 1339 | 3394 |
| 2 | 3808 | 3284 |
| 0 | 8319 | 3029 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
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 z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(+ x y) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 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) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(/ 1 x) |
(+ (* -1 (/ z (pow x 2))) (/ 1 x)) |
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z) |
(/ 1 z) |
(* -1 (/ (- (/ x z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) z)) |
(/ 1 z) |
(+ (* -1 (/ x (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ z x))) x) |
(/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x) |
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x) |
(/ 1 x) |
(* -1 (/ (- (/ z x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
z |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
z |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* z (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x))))) |
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z)))) |
(pow z 2) |
(+ (* x (+ z (* -1 z))) (pow z 2)) |
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2)) |
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
z |
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
z |
(+ z (* -1 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
1 |
(+ 1 (* -2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(/ 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) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
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(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 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 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(fma.f64 y (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 y (*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x))) (/.f64 y x)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
Compiled 42 660 to 3 848 computations (91% saved)
47 alts after pruning (45 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 662 | 30 | 1 692 |
| Fresh | 6 | 15 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 672 | 47 | 1 719 |
| Status | Accuracy | Program |
|---|---|---|
| 84.6% | (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) | |
| 53.6% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z) | |
| 73.5% | (fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) | |
| 48.2% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) | |
| 84.3% | (fma.f64 (cos.f64 y) z x) | |
| 23.6% | (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) | |
| 58.3% | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| 28.1% | (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) | |
| 41.0% | (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) | |
| 4.3% | (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) | |
| ▶ | 87.7% | (fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x) |
| 56.9% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x) | |
| ▶ | 45.4% | (fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
| 60.0% | (fma.f64 x (/.f64 z x) x) | |
| 21.1% | (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)) | |
| 31.1% | (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) | |
| 18.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 20.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) | |
| 27.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) | |
| 12.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) | |
| 21.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) | |
| 12.6% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) | |
| 25.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 20.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) | |
| 31.6% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) | |
| ▶ | 48.5% | (+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
| ▶ | 58.8% | (+.f64 (sin.f64 y) x) |
| ✓ | 66.2% | (+.f64 z x) |
| 57.5% | (+.f64 y (+.f64 z x)) | |
| 34.9% | (+.f64 y x) | |
| 41.9% | (+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) | |
| 47.8% | (+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 20.7% | (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) | |
| 43.2% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) | |
| 20.3% | (*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) | |
| 31.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) | |
| 31.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) | |
| 87.4% | (*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 43.4% | (*.f64 z (cos.f64 y)) | |
| 2.6% | (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) | |
| 2.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) | |
| ▶ | 25.4% | z |
| ✓ | 43.2% | x |
Compiled 1 576 to 875 computations (44.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 384 | (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) |
| ✓ | cost-diff | 1216 | (fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) |
| ✓ | cost-diff | 128 | (+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 704 | (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 1216 | (fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x) |
| 10 052× | accelerator-lowering-fma.f32 |
| 10 052× | accelerator-lowering-fma.f64 |
| 3 574× | /-lowering-/.f32 |
| 3 574× | /-lowering-/.f64 |
| 3 194× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 170 |
| 1 | 79 | 166 |
| 2 | 206 | 164 |
| 3 | 503 | 156 |
| 4 | 999 | 154 |
| 5 | 1826 | 154 |
| 6 | 3572 | 154 |
| 7 | 4692 | 154 |
| 8 | 6293 | 154 |
| 9 | 6396 | 154 |
| 10 | 6477 | 154 |
| 11 | 6559 | 154 |
| 0 | 8296 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x) |
x |
(+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x)) |
(* z (cos y)) |
z |
(cos y) |
y |
(/ 1 x) |
1 |
(/ (sin y) x) |
(sin y) |
z |
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x)) |
(+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) |
(+ (* y -1/6) (* z -1/2)) |
y |
-1/6 |
(* z -1/2) |
z |
-1/2 |
(* y y) |
(+ z x) |
x |
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
x |
(+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x)) |
y |
(/ (+ (* y (* z -1/2)) 1) x) |
(+ (* y (* z -1/2)) 1) |
(* z -1/2) |
z |
-1/2 |
1 |
(/ z x) |
(+ (sin y) x) |
(sin y) |
y |
x |
| Outputs |
|---|
(+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(cos y) |
(cos.f64 y) |
y |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
z |
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x)) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) |
(+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) |
(fma.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y y) y) |
(+ (* y -1/6) (* z -1/2)) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) |
y |
-1/6 |
#s(literal -1/6 binary64) |
(* z -1/2) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
-1/2 |
#s(literal -1/2 binary64) |
(* y y) |
(*.f64 y y) |
(+ z x) |
(+.f64 x z) |
x |
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
(+.f64 x (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) |
x |
(+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) |
y |
(/ (+ (* y (* z -1/2)) 1) x) |
(/.f64 (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(+ (* y (* z -1/2)) 1) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* z -1/2) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(/ z x) |
(/.f64 z x) |
(+ (sin y) x) |
(+.f64 x (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
y |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (sin.f64 y) x) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 94.7% | (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 92.0% | (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) |
| ✓ | accuracy | 87.9% | (fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 98.7% | (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) x) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 87.8% | (fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x) |
| 88.0ms | 256× | 0 | valid |
Compiled 157 to 34 computations (78.3% saved)
ival-mult: 18.0ms (26.3% of total)ival-cos: 16.0ms (23.4% of total)ival-add: 15.0ms (21.9% of total)ival-div: 7.0ms (10.2% of total)ival-sin: 6.0ms (8.8% of total)const: 6.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x)> |
#<alt (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))> |
#<alt (* z (cos y))> |
#<alt (cos y)> |
#<alt (+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x))> |
#<alt (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y)> |
#<alt (+ (* y -1/6) (* z -1/2))> |
#<alt (* z -1/2)> |
#<alt (+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x)> |
#<alt (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))> |
#<alt (/ (+ (* y (* z -1/2)) 1) x)> |
#<alt (+ (* y (* z -1/2)) 1)> |
#<alt (+ (sin y) x)> |
#<alt (sin y)> |
#<alt (/ (sin y) x)> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (/ (sin y) x)> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))> |
#<alt (+ x (+ y (* -1/6 (pow y 3))))> |
#<alt (+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))> |
#<alt (+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))> |
#<alt (+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y)))))> |
#<alt (+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))> |
#<alt (* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))> |
#<alt (* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (* y z))))> |
#<alt (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))> |
#<alt (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))> |
#<alt (+ y (* -1/6 (pow y 3)))> |
#<alt (+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))> |
#<alt (+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))> |
#<alt (+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))> |
#<alt (* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2)))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (* -1/6 y)> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* -1/6 y)> |
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1/6 y)> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (* -1/2 z)> |
#<alt (* z (- (* -1/6 (/ y z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ y z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ y z)) 1/2))> |
#<alt (* -1/2 z)> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))> |
#<alt (+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))> |
#<alt (+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))))> |
#<alt (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))))> |
#<alt (* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))> |
#<alt (* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))> |
#<alt (* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z))))> |
#<alt (* -1 (* x (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (* -1/2 (/ (* (pow y 2) z) x))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2))))))> |
#<alt (* -1/2 (/ (* (pow y 2) z) x))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x))))> |
#<alt (/ y x)> |
#<alt (+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))> |
#<alt (+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))> |
#<alt (+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z)))))> |
#<alt (* -1 (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))> |
#<alt (* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))> |
#<alt (* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))> |
#<alt (* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x))))> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))> |
#<alt (* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))> |
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))> |
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))> |
#<alt (* -1/2 (/ (* y z) x))> |
#<alt (* y (+ (* -1/2 (/ z x)) (/ 1 (* x y))))> |
#<alt (* y (+ (* -1/2 (/ z x)) (/ 1 (* x y))))> |
#<alt (* y (+ (* -1/2 (/ z x)) (/ 1 (* x y))))> |
#<alt (* -1/2 (/ (* y z) x))> |
#<alt (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y)))))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))> |
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))> |
#<alt (+ (* -1/2 (/ (* y z) x)) (/ 1 x))> |
#<alt (* -1/2 (/ (* y z) x))> |
#<alt (* z (+ (* -1/2 (/ y x)) (/ 1 (* x z))))> |
#<alt (* z (+ (* -1/2 (/ y x)) (/ 1 (* x z))))> |
#<alt (* z (+ (* -1/2 (/ y x)) (/ 1 (* x z))))> |
#<alt (* -1/2 (/ (* y z) x))> |
#<alt (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))> |
#<alt (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))> |
#<alt (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z)))))> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt (/ (+ 1 (* -1/2 (* y z))) x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* y (+ (* -1/2 z) (/ 1 y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* z (+ (* -1/2 y) (/ 1 z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ y x)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<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)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x)) |
| 1.0ms | x | @ | -inf | (+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
| 1.0ms | x | @ | 0 | (+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
| 1.0ms | z | @ | 0 | (+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
| 1.0ms | z | @ | -inf | (+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
| 1× | batch-egg-rewrite |
| 5 764× | accelerator-lowering-fma.f32 |
| 5 764× | accelerator-lowering-fma.f64 |
| 4 120× | *-lowering-*.f32 |
| 4 120× | *-lowering-*.f64 |
| 4 052× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 1 | 219 | 135 |
| 2 | 2260 | 131 |
| 0 | 8536 | 115 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x))) x) |
(+ (* (* z (cos y)) (/ 1 x)) (/ (sin y) x)) |
(* z (cos y)) |
(cos y) |
(+ (+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) (+ z x)) |
(+ (* (+ (* y -1/6) (* z -1/2)) (* y y)) y) |
(+ (* y -1/6) (* z -1/2)) |
(* z -1/2) |
(+ (* x (+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x))) x) |
(+ (* y (/ (+ (* y (* z -1/2)) 1) x)) (/ z x)) |
(/ (+ (* y (* z -1/2)) 1) x) |
(+ (* y (* z -1/2)) 1) |
(+ (sin y) x) |
(sin y) |
(/ (sin y) x) |
(* y y) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) |
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x) |
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) x) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (cos.f64 y) (*.f64 z #s(literal 1 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 z (cos.f64 y)) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x x) |
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (*.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x) |
(fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (/.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (sin.f64 y) x) (*.f64 z (/.f64 (cos.f64 y) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)) (/.f64 (pow.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (cos.f64 y) x)) (/.f64 (sin.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x) (*.f64 z (/.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z (cos.f64 y)) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 z (/.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 z (/.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) x)) |
(fma.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 z (/.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 z (/.f64 (cos.f64 y) x))) |
(fma.f64 (/.f64 z x) (cos.f64 y) (/.f64 (sin.f64 y) x)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y)))) |
(fma.f64 x #s(literal 1 binary64) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (sin.f64 y) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 x (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y))))) |
(/.f64 (sin.f64 y) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 18 934× | accelerator-lowering-fma.f32 |
| 18 934× | accelerator-lowering-fma.f64 |
| 5 748× | *-lowering-*.f32 |
| 5 748× | *-lowering-*.f64 |
| 5 438× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 4094 |
| 1 | 1131 | 4034 |
| 2 | 3605 | 3943 |
| 0 | 8087 | 3576 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (+ y (* -1/6 (pow y 3)))) |
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2))))))) |
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2))))))) |
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2))))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z)))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z)))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z)))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (+ y (* -1/6 (pow y 3)))) z)) (* 1/2 (pow y 2))) 1))) |
(+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) |
(+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y)))))) |
x |
(* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x))))) |
(* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x))))) |
(* x (+ 1 (+ (/ y x) (+ (/ z x) (/ (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))) x))))) |
x |
(* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y (+ z (* (pow y 2) (+ (* -1/2 z) (* -1/6 y))))) x)) 1))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) |
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(+ y (* -1/6 (pow y 3))) |
(+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3)))) |
(+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3)))) |
(+ y (+ (* -1/2 (* (pow y 2) z)) (* -1/6 (pow y 3)))) |
(* -1/2 (* (pow y 2) z)) |
(* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z)))) |
(* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z)))) |
(* z (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (/ y z)))) |
(* -1/2 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (+ y (* -1/6 (pow y 3))) z)) (* 1/2 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ z x)) (* -1 (/ (* y (+ 1 (* -1/2 (* y z)))) x))) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(+ x y) |
(+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))))) |
(+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))))) |
(+ x (+ y (* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))))) |
(* x (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))) |
(* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z)))) |
(* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z)))) |
(* z (+ (* x (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (+ (/ x z) (/ y z)))) |
(* -1 (* x (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x))))) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))) |
(* -1 (* z (+ (* -1 (/ (+ x y) z)) (* x (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(* -1/2 (/ (* (pow y 2) z) x)) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (+ (/ 1 (* x y)) (/ z (* x (pow y 2)))))) |
(* -1/2 (/ (* (pow y 2) z) x)) |
(* (pow y 2) (+ (* -1/2 (/ z x)) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ z (* x y))) (/ 1 x)) y)) (* -1/2 (/ z x)))) |
(/ y x) |
(+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x)) |
(+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x)) |
(+ (* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) (/ y x)) |
(* z (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))) |
(* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z))))) |
(* z (+ (* -1/2 (/ (pow y 2) x)) (+ (/ 1 x) (/ y (* x z))))) |
(* -1 (* z (- (* 1/2 (/ (pow y 2) x)) (/ 1 x)))) |
(* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x)))) |
(* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x)))) |
(* -1 (* z (- (+ (* -1 (/ y (* x z))) (* 1/2 (/ (pow y 2) x))) (/ 1 x)))) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x) |
(* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x)) |
(* -1 (/ (+ (* -1 z) (* -1 (* y (+ 1 (* -1/2 (* y z)))))) x)) |
(/ 1 x) |
(+ (* -1/2 (/ (* y z) x)) (/ 1 x)) |
(+ (* -1/2 (/ (* y z) x)) (/ 1 x)) |
(+ (* -1/2 (/ (* y z) x)) (/ 1 x)) |
(* -1/2 (/ (* y z) x)) |
(* y (+ (* -1/2 (/ z x)) (/ 1 (* x y)))) |
(* y (+ (* -1/2 (/ z x)) (/ 1 (* x y)))) |
(* y (+ (* -1/2 (/ z x)) (/ 1 (* x y)))) |
(* -1/2 (/ (* y z) x)) |
(* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y))))) |
(* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y))))) |
(* -1 (* y (- (* 1/2 (/ z x)) (/ 1 (* x y))))) |
(/ 1 x) |
(+ (* -1/2 (/ (* y z) x)) (/ 1 x)) |
(+ (* -1/2 (/ (* y z) x)) (/ 1 x)) |
(+ (* -1/2 (/ (* y z) x)) (/ 1 x)) |
(* -1/2 (/ (* y z) x)) |
(* z (+ (* -1/2 (/ y x)) (/ 1 (* x z)))) |
(* z (+ (* -1/2 (/ y x)) (/ 1 (* x z)))) |
(* z (+ (* -1/2 (/ y x)) (/ 1 (* x z)))) |
(* -1/2 (/ (* y z) x)) |
(* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z))))) |
(* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z))))) |
(* -1 (* z (- (* 1/2 (/ y x)) (/ 1 (* x z))))) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
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) |
(/ 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) |
(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) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))) |
(/ z x) |
(/.f64 z x) |
(+ (/ y x) (/ z x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) (/.f64 y x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z))) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
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(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* -1/2 (* y z))) x) |
(/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 y (*.f64 z #s(literal -1/2 binary64))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 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) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
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 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(fma.f64 y (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x))) (/.f64 y x)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
Compiled 23 256 to 1 935 computations (91.7% saved)
52 alts after pruning (48 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 909 | 9 | 918 |
| Fresh | 1 | 39 | 40 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 913 | 52 | 965 |
| Status | Accuracy | Program |
|---|---|---|
| 46.9% | (fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) | |
| 84.6% | (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) | |
| 53.6% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z) | |
| 87.7% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x x) | |
| 73.5% | (fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) | |
| 4.2% | (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) | |
| 48.2% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) | |
| 84.3% | (fma.f64 (cos.f64 y) z x) | |
| 58.3% | (fma.f64 z (cos.f64 y) (sin.f64 y)) | |
| 28.1% | (fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) | |
| 26.5% | (fma.f64 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) | |
| 41.0% | (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) | |
| 4.3% | (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) | |
| 56.9% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x) | |
| 45.1% | (fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) | |
| 60.0% | (fma.f64 x (/.f64 z x) x) | |
| 51.1% | (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) | |
| 21.1% | (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)) | |
| 31.1% | (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) | |
| 18.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 20.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) | |
| 27.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) | |
| 12.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) | |
| 21.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) | |
| 12.6% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) | |
| 25.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 20.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) | |
| 31.6% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) | |
| 26.0% | (+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) | |
| 49.6% | (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) | |
| ✓ | 58.8% | (+.f64 (sin.f64 y) x) |
| ✓ | 66.2% | (+.f64 z x) |
| 57.5% | (+.f64 y (+.f64 z x)) | |
| 34.9% | (+.f64 y x) | |
| 41.9% | (+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) | |
| 47.8% | (+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) | |
| 20.7% | (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) | |
| 43.2% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) | |
| 20.3% | (*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) | |
| 31.1% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) | |
| 31.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) | |
| 87.4% | (*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) | |
| 43.4% | (*.f64 z (cos.f64 y)) | |
| 2.6% | (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) | |
| 2.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) | |
| 17.7% | (sin.f64 y) | |
| ✓ | 25.4% | z |
| ✓ | 43.2% | x |
Compiled 2 004 to 757 computations (62.2% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 (cos.f64 y) z x) |
(+.f64 x (*.f64 z (cos.f64 y))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) x x) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) z) |
(fma.f64 x (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) x) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 z (cos.f64 y) (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(+.f64 (+.f64 x (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 x)) (*.f64 x x))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(*.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)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 23.0ms | x |
| 22.0ms | y |
| 22.0ms | z |
| 21.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 (cos.f64 y) z x) |
(+.f64 x (*.f64 z (cos.f64 y))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z x) |
4 calls:
| 18.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0ms | y |
| 17.0ms | z |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | x |
| 84.3% | 1 | y |
| 97.5% | 3 | z |
| 96.7% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
(fma.f64 (cos.f64 y) z x) |
(+.f64 x (*.f64 z (cos.f64 y))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 y x)) x) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z x) |
(+.f64 (sin.f64 y) x) |
(fma.f64 (cos.f64 y) z x) |
2 calls:
| 19.0ms | x |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | z |
| 84.3% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
| Outputs |
|---|
(*.f64 z (cos.f64 y)) |
(+.f64 (sin.f64 y) x) |
(*.f64 z (cos.f64 y)) |
4 calls:
| 19.0ms | y |
| 16.0ms | x |
| 16.0ms | z |
| 14.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 4 | y |
| 75.8% | 3 | x |
| 78.6% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 85.2% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
(sin.f64 y) |
(+.f64 (sin.f64 y) x) |
| Outputs |
|---|
(+.f64 (sin.f64 y) x) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(+.f64 (sin.f64 y) x) |
2 calls:
| 18.0ms | z |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | y |
| 79.4% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 z x) |
(sin.f64 y) |
(+.f64 y (+.f64 z x)) |
(sin.f64 y) |
(+.f64 z x) |
3 calls:
| 20.0ms | z |
| 14.0ms | y |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.2% | 1 | z |
| 66.2% | 1 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
(+.f64 z x) |
(+.f64 y (+.f64 z x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) y) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) y) |
(fma.f64 x (/.f64 z x) x) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+.f64 x (fma.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) z)) |
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 z x)) |
(+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)) x) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) |
(+.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y) y) (+.f64 z x)) |
(fma.f64 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 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) |
(+.f64 x (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 z z))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 x (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x)))) |
(fma.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (*.f64 y x) (fma.f64 z #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y) x) |
(fma.f64 x (fma.f64 y (/.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x) (/.f64 z x)) x) |
(fma.f64 x (fma.f64 y (/.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 z x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (+.f64 x z)))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 x (fma.f64 y (/.f64 (fma.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z x) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (/.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x)) (-.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) (/.f64 (+.f64 x z) (*.f64 (-.f64 z x) (neg.f64 (+.f64 x z))))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 z y))) #s(literal 1 binary64)))) (+.f64 z x)) |
| Outputs |
|---|
(+.f64 z x) |
3 calls:
| 16.0ms | x |
| 16.0ms | y |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 1 | y |
| 66.2% | 1 | x |
| 66.2% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
x |
z |
(+.f64 y x) |
| Outputs |
|---|
x |
z |
x |
4 calls:
| 5.0ms | x |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.9% | 3 | x |
| 52.6% | 3 | z |
| 43.2% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 48.1% | 4 | 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 | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 1 | y |
| 43.2% | 1 | z |
| 43.2% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.2867221541024725e-22 | 4.500152742106771e-15 |
| 18.0ms | -0.1036520500968464 | -3.288814838463646e-5 |
| 22.0ms | 272× | 0 | valid |
Compiled 338 to 235 computations (30.5% saved)
ival-sin: 6.0ms (39% of total)ival-cos: 5.0ms (32.5% of total)ival-add: 2.0ms (13% of total)ival-mult: 2.0ms (13% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.036774220590768e-19 | 6.062645149566821e-18 |
| 15.0ms | -2.2096977775154235e-7 | -1.692170331371445e-10 |
| 20.0ms | 240× | 0 | valid |
Compiled 270 to 194 computations (28.1% saved)
ival-sin: 5.0ms (36.5% of total)ival-cos: 4.0ms (29.2% of total)ival-add: 2.0ms (14.6% of total)ival-mult: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.7671533003172705e+23 | 2.9581632408897068e+23 |
| 18.0ms | -3.121136294560207e+34 | -6.634600467406418e+27 |
| 15.0ms | 176× | 0 | valid |
Compiled 191 to 146 computations (23.6% saved)
ival-cos: 4.0ms (35.9% of total)ival-sin: 4.0ms (35.9% of total)ival-add: 2.0ms (17.9% of total)ival-mult: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 18913.673248171053 | 28833.966419801953 |
| 17.0ms | -859.9537635593724 | -0.0013422565068760101 |
| 19.0ms | 208× | 0 | valid |
Compiled 327 to 222 computations (32.1% saved)
ival-sin: 4.0ms (29.9% of total)ival-cos: 3.0ms (22.4% of total)ival-mult: 3.0ms (22.4% of total)ival-add: 2.0ms (14.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9995656004726876 | 94767140484.57382 |
| 0.0ms | 1.3158826178817935e-5 | 0.04145935649041712 |
| 0.0ms | -0.18112177813667707 | -0.1036520500968464 |
| 0.0ms | -6.379325399233955 | -0.9963541239589029 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.500152742106771e-15 | 3.4481548546991244e-13 |
| 17.0ms | -1.1450494591645969e-83 | -2.4828621369103522e-86 |
| 24.0ms | 240× | 0 | valid |
Compiled 165 to 134 computations (18.8% saved)
ival-sin: 6.0ms (35.2% of total)ival-cos: 5.0ms (29.3% of total)ival-mult: 3.0ms (17.6% of total)ival-add: 2.0ms (11.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 10× | if-if-or-not_binary32 |
| 4× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 167 |
| 1 | 86 | 167 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 x #s(literal 934613434536269/20769187434139310514121985316880384 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 (cos.f64 y) z x))) |
(if (<=.f64 z #s(literal -5198381024342905/604462909807314587353088 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 2661052139999099/649037107316853453566312041152512 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x))) |
(if (<=.f64 z #s(literal -2100000000000000013610214490112 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(if (<=.f64 y #s(literal -1062849512059437/36028797018963968 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) (+.f64 (sin.f64 y) x))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5404319552844595/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x))))) |
(+.f64 z x) |
(if (<=.f64 x #s(literal -7217927391783939/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) x (if (<=.f64 x #s(literal 4951760157141521/19807040628566084398385987584 binary64)) z x)) |
x |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -2508757194024499/73786976294838206464 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 x #s(literal 934613434536269/20769187434139310514121985316880384 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (fma.f64 (cos.f64 y) z x))) |
(if (<=.f64 z #s(literal -5198381024342905/604462909807314587353088 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 2661052139999099/649037107316853453566312041152512 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x))) |
(if (<=.f64 z #s(literal -5198381024342905/604462909807314587353088 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 2661052139999099/649037107316853453566312041152512 binary64)) (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) z x))) |
(if (<=.f64 z #s(literal -2100000000000000013610214490112 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(if (<=.f64 z #s(literal -2100000000000000013610214490112 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 294999999999999993708544 binary64)) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(if (<=.f64 y #s(literal -1062849512059437/36028797018963968 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 z x)) (+.f64 (sin.f64 y) x))) |
(if (<=.f64 y #s(literal -1062849512059437/36028797018963968 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) (+.f64 x z)) (+.f64 x (sin.f64 y)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5404319552844595/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x))))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -5 binary64)) (+.f64 x z) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -5404319552844595/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 x z))))) |
(+.f64 z x) |
(+.f64 x z) |
(if (<=.f64 x #s(literal -7217927391783939/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) x (if (<=.f64 x #s(literal 4951760157141521/19807040628566084398385987584 binary64)) z x)) |
x |
| 18 934× | accelerator-lowering-fma.f32 |
| 18 934× | accelerator-lowering-fma.f64 |
| 11 212× | accelerator-lowering-fma.f32 |
| 11 212× | accelerator-lowering-fma.f64 |
| 11 100× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 203 |
| 1 | 283 | 145 |
| 2 | 2823 | 145 |
| 0 | 8984 | 131 |
| 0 | 96 | 591 |
| 1 | 282 | 587 |
| 2 | 797 | 577 |
| 3 | 2037 | 575 |
| 4 | 3964 | 575 |
| 5 | 7253 | 575 |
| 0 | 8423 | 528 |
| 0 | 444 | 3528 |
| 1 | 1339 | 3394 |
| 2 | 3808 | 3284 |
| 0 | 8319 | 3029 |
| 0 | 359 | 4094 |
| 1 | 1131 | 4034 |
| 2 | 3605 | 3943 |
| 0 | 8087 | 3576 |
| 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 |
Compiled 355 to 173 computations (51.3% saved)
Compiled 392 to 134 computations (65.8% saved)
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